Aleš Drápal

Články / Papers

Drápal, Aleš On multiplicative equivalences that are totally incompatible with division. Algebra Universalis 80 (2019), no. 3, Paper No. 32. paper
Drápal, Aleš; Valent, Viliam High nonassociativity in order 8 and an associative index estimate. J. Combin. Des. 27 (2019), no. 4, 205–228 paper
Drápal, Aleš About Laver tables. Nonassociative mathematics and its applications, 97–113, Contemp. Math., 721, Amer. Math. Soc., Providence, RI, 2019. collection
Drápal, Aleš; Valent, Viliam Few associative triples, isotopisms and groups. Des. Codes Cryptography 86, No. 3, 555-568 (2018). paper
Drápal, Aleš; Kozlik, Andrew R. Flexible Latin directed triple systems. Util. Math. 104, 31-46 (2017).
Drápal, Aleš On extensions of Moufang loops by a cyclic factor that is coprime to three. Commun. Algebra 45, No. 6, 2350-2376 (2017). paper
Drápal, Aleš Moufang loops of order coprime to three that cyclically extend groups of dihedral type. Commentat. Math. Univ. Carol. 57, No. 4, 453-500 (2016). paper
Drápal, Aleš; Griggs, Terry S. On cosets in Steiner loops. Bul. Acad. Ştiinţe Repub. Mold., Mat. 2016, No. 1(80), 118-124 (2016). paper
Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R. Pure Latin directed triple systems. Australas. J. Comb. 62, Part 1, 59-75 (2015). paper
Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R. Basics of DTS quasigroups: algebra, geometry and enumeration. J. Algebra Appl. 14, No. 6, Article ID 1550089, 24 p. (2015). paper
Drápal, Aleš; Kinyon, Michael Buchsteiner loops: associators and constructions. J. Algebra Appl. 14, No. 4, Article ID 1550050, 25 p. (2015). paper
Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R. Triple systems and binary operations. Discrete Math. 325, 1-11 (2014). paper
Drápal, Aleš; Shcherbacov, Victor Identities and the group of isostrophisms. Commentat. Math. Univ. Carol. 53, No. 3, 347-374 (2012). paper
Drápal, A.; Kozlik, A.; Griggs, T. S. Latin directed triple systems. Discrete Math. 312, No. 3, 597-607 (2012). paper
Drápal, Aleš; Vojtěchovský, Petr Small loops of nilpotency class 3 with commutative inner mapping groups. J. Group Theory 14, No. 4, 547-573 (2011). paper
Drápal, Aleš A simplified proof of Moufang’s theorem. Proc. Am. Math. Soc. 139, No. 1, 93-98 (2011). paper
Drápal, A.; Griggs, T. S. Homogeneous toroidal Latin bitrades. Ars Comb. 96, 343-351 (2010).
Drápal, Aleš; Hämäläinen, Carlo; Rosendorf, Dan An enumeration of spherical latin bitrades. Australas. J. Comb. 47, 133-143 (2010). paper
Drápal, Aleš; Hämäläinen, Carlo An enumeration of equilateral triangle dissections. Discrete Appl. Math. 158, No. 14, 1479-1495 (2010). paper
Drápal, Aleš; Jedlička, Přemysl On loop identities that can be obtained by a nuclear identification. Eur. J. Comb. 31, No. 7, 1907-1923 (2010). paper
Drápal, Aleš; Hämäläinen, Carlo; Kala, Vítězslav Latin bitrades, dissections of equilateral triangles, and abelian groups. J. Comb. Des. 18, No. 1, 1-24 (2010). [https://doi.org/10.1002/jcd.20237 paper]
Drápal, Aleš; Vojtěchovský, Petr Code loops in both parities. J. Algebr. Comb. 31, No. 4, 585-611 (2010). paper
Drápal, Aleš; Lisoněk, Petr Generating spherical Eulerian triangulations. Discrete Math. 310, No. 8, 1403-1405 (2010). paper
Donovan, D. M.; Drápal, A.; Grannell, M. J.; Griggs, T. S.; Lefevre, J. G. Quarter-regular biembeddings of Latin squares. Discrete Math. 310, No. 4, 692-699 (2010). paper
Csörgő, Piroska; Drápal, Aleš Buchsteiner loops and conjugacy closedness. Commun. Algebra 38, No. 1, 11-27 (2010). paper
Drápal, Aleš On elementary moves that generate all spherical Latin trades. Commentat. Math. Univ. Carol. 50, No. 4, 477-511 (2009). paper
Csörgő, Piroska; Drápal, Aleš; Kinyon, Michael K. Buchsteiner loops. Int. J. Algebra Comput. 19, No. 8, 1049-1088 (2009). paper
Drápal, Aleš Group isotopes and a holomorphic action. Result. Math. 54, No. 3-4, 253-272 (2009). paper
Drápal, Aleš Geometrical structure and construction of Latin trades. Adv. Geom. 9, No. 3, 311-348 (2009). paper
Drápal, Aleš; Vojtěchovský, Petr Symmetric multilinear forms and polarization of polynomials. Linear Algebra Appl. 431, No. 5-7, 998-1012 (2009). paper
Csörgő, Piroska; Drápal, Aleš On loops rich in automorphisms that are Abelian modulo the nucleus. Forum Math. 21, No. 3, 477-489 (2009). paper
Drápal, Aleš A class of commutative loops with metacyclic inner mapping groups. Commentat. Math. Univ. Carol. 49, No. 3, 357-382 (2008). paper
Cavenagh, Nicholas J.; Drápal, Aleš; Hämäläinen, Carlo Latin bitrades derived from groups. Discrete Math. 308, No. 24, 6189-6202 (2008). paper
Lefevre, James G.; Donovan, Diane; Drápal, Aleš Permutation representation of 3 and 4-homogeneous Latin bitrades. Fundam. Inform. 84, No. 1, 99-110 (2008).
Drápal, Aleš; Vojtěchovský, Petr Explicit constructions of loops with commuting inner mappings. Eur. J. Comb. 29, No. 7, 1662-1681 (2008). paper
Drápal, Aleš Structural interactions of conjugacy closed loops. Trans. Am. Math. Soc. 360, No. 2, 671-689 (2008). paper
Lefevre, James; Donovan, Diane; Cavenagh, Nicholas; Drápal, Aleš Minimal and minimum size latin bitrades of each genus. Commentat. Math. Univ. Carol. 48, No. 2, 189-203 (2007). paper
Drápal, Aleš A nuclear construction of loops with small inner mapping groups. Abh. Math. Semin. Univ. Hamb. 77, 201-218 (2007). paper
Drápal, Aleš; Vojtěchovský, Petr Moufang loops that share associator and three quarters of their multiplication tables. Rocky Mt. J. Math. 36, No. 2, 425-455 (2006). paper
Csörgő, Piroska; Drápal, Aleš On left conjugacy closed loops in which the left multiplication group is normal. Abh. Math. Semin. Univ. Hamb. 76, 17-34 (2006).
Drápal, Aleš On extraspecial left conjugacy closed loops. J. Algebra 302, No. 2, 771-792 (2006). paper
Drápal, Aleš On multiplication groups of relatively free quasigroups isotopic to Abelian groups. Czech. Math. J. 55, No. 1, 61-86 (2005). paper
Csörgő, Piroska; Drápal, Aleš Left conjugacy closed loops of nilpotency class two. Result. Math. 47, No. 3-4, 242-265 (2005). paper
Cavenagh, Nicholas; Donovan, Diane; Drápal, Aleš 3-homogeneous Latin trades. Discrete Math. 300, No. 1-3, 57-70 (2005). paper
Bálek, Martin; Drápal, Aleš; Zhukavets, Natalia The neighbourhood of dihedral 2-groups. Acta Appl. Math. 85, No. 1-3, 25-33 (2005). paper
Cavenagh, Nicholas; Donovan, Diane; Drápal, Aleš 4-homogeneous Latin trades. Australas. J. Comb. 32, 285-303 (2005). paper
Drápal, Aleš On multiplication groups of left conjugacy closed loops. Commentat. Math. Univ. Carol. 45, No. 2, 223-236 (2004). paper
Drápal, Aleš On left conjugacy closed loops with a nucleus of index two. Abh. Math. Semin. Univ. Hamb. 74, 205-221 (2004). paper
Drápal, Aleš On minimum distances of Latin squares and the quadrangle criterion. Acta Sci. Math. 70, No. 1-2, 3-11 (2004).
Cavenagh, Nicholas; Donovan, Diane; Drápal, Aleš Constructing and deconstructing Latin trades. Discrete Math. 284, No. 1-3, 97-105 (2004).paper
Drápal, Aleš Conjugacy closed loops and their multiplication groups. J. Algebra 272, No. 2, 838-850 (2004). paper
Drápal, Aleš Cyclic and dihedral constructions of even order. Commentat. Math. Univ. Carol. 44, No. 4, 593-614 (2003). paper
Drápal, Aleš On distances of 2-groups and 3-groups. Campbell, C. M. (ed.) et al., Groups St. Andrews 2001 in Oxford. Selected papers from the international conference, Oxford, UK, August 5–18, 2001. Vol. I. Cambridge: Cambridge University Press (ISBN 0-521-53739-8/pbk). Lond. Math. Soc. Lect. Note Ser. 304, 143-149 (2003). paper
Drápal, Aleš; Zhukavets, Natalia On multiplication tables of groups that agree on half of the columns and half of the rows. Glasg. Math. J. 45, No. 2, 293-308 (2003). paper
Drápal, Aleš Near 2-groups yield an isomorphism with many fixed points. Discrete Math. 266, No. 1-3, 217-228 (2003). paper
Drápal, Aleš On groups that differ in one of four squares. Eur. J. Comb. 23, No. 8, 899-918 (2002). paper
Drápal, Aleš Yet another approach to the extended ternary Golay code. Discrete Math. 256, No. 1-2, 459-464 (2002). paper
Drápal, Aleš Multiplication groups of loops and projective semilinear transformations in dimension two. J. Algebra 251, No. 1, 256-278 (2002). paper
Drápal, Aleš Orbits of inner mapping groups. Monatsh. Math. 134, No. 3, 191-206 (2002). paper
Drápal, Aleš Hamming distances of groups and quasi-groups. Discrete Math. 235, No. 1-3, 189-197 (2001). paper
Drápal, Aleš Multiplication groups of finite loops that fix at most two points. J. Algebra 235, No. 1, 154-175 (2001). paper
Drápal, Aleš A-loops close to code loops are groups. Commentat. Math. Univ. Carol. 41, No. 2, 245-249 (2000). paper
Drápal, Aleś On a term rewriting system controlled by sequences of integers. Atkinson, Michael (ed.) et al., Computational and geometric aspects of modern algebra. Proceedings of the workshop, Edinburgh, UK, July 23-31, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 275, 39-53 (2000).
Drápal, Aleš Non-isomorphic 22-groups coincide at most in three quarters of their multiplication tables. Eur. J. Comb. 21, No. 3, 301-321 (2000). paper
Drápal, Aleš Monogenerated LD-groupoids and their defining relations. Discuss. Math., Algebra Stoch. Methods 19, No. 1, 113-127 (1999).
Drápal, Aleś On distances of multiplication tables of groups. Campbell, C. M. (ed.) et al., Groups St. Andrews 1997 in Bath. Selected papers of the international conference, Bath, UK, July 26-August 9, 1997. Vol. 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 260, 248-252 (1999).
Drápal, Aleš Finite left distributive groupoids with one generator. Int. J. Algebra Comput. 7, No. 6, 723-748 (1997). paper
Drápal, Aleš; Ježek, Jaroslav; Kepka, Tomáš Groupoids and the associative law. IX: Associative triples in some classes of groupoids. Acta Univ. Carol., Math. Phys. 38, No. 1, 39-52 (1997). paper
Drápal, Aleš; Kepka, Tomáš Groupoids and the associative law. VIII: Diagonally non-associative groupoids. Acta Univ. Carol., Math. Phys. 38, No. 1, 23-37 (1997).
Drápal, Aleš Finite left distributive algebras with one generator. J. Pure Appl. Algebra 121, No. 3, 233-251 (1997). paper
Drápal, Aleš Low level computations in finite left distributive algebras. Commun. Algebra 25, No. 7, 2071-2084 (1997). paper
Drápal, Aleš On free Frobenius groups generated by left translations. Riv. Mat. Pura Appl. 18, 107-119 (1996).
Drápal, Aleš Multiplication groups of free loops. I. Czech. Math. J. 46, No. 1, 121-131 (1996). paper
Drápal, Aleš Multiplication groups of free loops. II. Czech. Math. J. 46, No. 2, 201-220 (1996). paper
Drápal, Aleš Persistence of cyclic left distributive algebras. J. Pure Appl. Algebra 105, No. 2, 137-165 (1995). paper
Drápal, Aleš Generating free groups by loop translations. Eur. J. Comb. 16, No. 6, 561-565 (1995). paper
Drápal, Aleš On the semigroup structure of cyclic left distributive algebras. Semigroup Forum 51, No. 1, 23-30 (1995). paper
El Bashir, Robert; Drápal, Aleš Quasitrivial left distributive groupoids. Commentat. Math. Univ. Carol. 35, No. 4, 597-606 (1994). paper
Drápal, Aleš; Kepka, Tomáš; Maršálek, Petr Multiplication groups of quasigroups and loops. II. Acta Univ. Carol., Math. Phys. 35, No. 1, 9-29 (1994). paper
Drápal, Aleš; Kepka, Tomáš; Musílek, Michal Group conjugation has non-trivial LD-identities. Commentat. Math. Univ. Carol. 35, No. 2, 219-222 (1994). paper
Drápal, Aleš Homomorphisms of primitive left distributive groupoids. Commun. Algebra 22, No. 7, 2579-2592 (1994). paper
Drápal, Aleš; Kepka, Tomáš Multiplication groups of quasigroups and loops. I. Acta Univ. Carol., Math. Phys. 34, No. 1, 85-99 (1993). paper
Drápal, Aleš On a class of commutative groupoids determined by their associativity triples. Commentat. Math. Univ. Carol. 34, No. 2, 199-201 (1993). paper
Drápal, Aleš How far apart can the group multiplication tables be? Eur. J. Comb. 13, No. 5, 335-343 (1992). paper
Drápal, Aleš On a planar construction of quasigroups. Czech. Math. J. 41(116), No. 3, 538-548 (1991). paper
Drápal, Aleš; Kepka, Tomáš Loops whose translations generate the alternating group. Czech. Math. J. 40(115), No. 1, 116-124 (1990). paper
Drápal, Aleš; Kepka, Tomáš On a distance of groups and Latin squares. Commentat. Math. Univ. Carol. 30, No. 4, 621-626 (1989). paper
Drápal, Aleš; Kepka, Tomáš Alternating groups and Latin squares. Eur. J. Comb. 10, No. 2, 175-180 (1989). paper
Bican, Ladislav; Drápal, Aleš; Kepka, Tomáš Cancellative relations and matrices. Acta Univ. Carol., Math. Phys. 28, No. 1, 21-31 (1987). paper
Drápal, Aleš; Kepka, Tomáš Parity of orthogonal permutations. Commentat. Math. Univ. Carol. 28, 427-432 (1987). paper
Drápal, Aleš; Kepka, Tomáš Parity of orthogonal automorphisms. Commentat. Math. Univ. Carol. 28, 251-259 (1987).paper
Drápal, Aleš; Kepka, Tomáš Sets of associative triples. Eur. J. Comb. 6, 227-231 (1985). paper
Drápal, Aleš; Kepka, Tomáš Exchangeable partial groupoids. II. Acta Univ. Carol., Math. Phys. 26, No. 1, 3-9 (1985). paper
Drápal, Aleš Groupoids with non-associative triples on the diagonal. Czech. Math. J. 35(110), 555-564 (1985). paper
Drápal, Aleš; Kepka, Tomáš Group distances of Latin squares. Commentat. Math. Univ. Carol. 26, 275-283 (1985). paper
Drápal, Aleš Globals of unary algebras. Czech. Math. J. 35(110), 52-58 (1985). paper
Drápal, Aleš; Kepka, Tomáš Exchangeable partial groupoids. I. Acta Univ. Carol., Math. Phys. 24, No. 2, 57-72 (1983). paper
Drápal, Aleš; Kepka, Tomáš Group modifications of some partial groupoids. Ann. Discrete Math. 18, 319-332 (1983).
Drápal, Aleš On quasigroups rich in associative triples. Discrete Math. 44, 251-265 (1983). paper
Drápal, Aleš; Kepka, Tomáš A note on the number of associative triples in quasigroups isotopic to groups. Commentat. Math. Univ. Carol. 22, 735-743 (1981). paper