GAP package loops. The LOOPS package provides researchers in nonassociative algebra with a computational tool that integrates standard notions of loop theory with libraries of loops and group-theoretical algorithms of GAP. The package also expands GAP toward nonassociative structures.

References in zbMATH (referenced in 45 articles , 1 standard article )

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  1. Smith, Jonathan D. H.; Vojtěchovský, Petr: Okubo quasigroups (2022)
  2. Merlini Giuliani, Maria de Lourdes; Oliveira Cortes, Wagner de: On loopoids and magma with inverse (2021)
  3. Nagy, Ben; Roberts, David Michael: (Re)constructing code loops (2021)
  4. Drápal, Aleš; Vojtěchovský, Petr: Division sudokus: invariants, enumeration, and multiple partitions (2020)
  5. Greer, Mark; Raney, Lee: Automorphic loops and metabelian groups. (2020)
  6. Merlini Giuliani, Maria De Lourdes; Dos Anjos, Giliard Souza: Lie automorphic loops under half-automorphisms (2020)
  7. Stuhl, Izabella; Vojtěchovský, Petr: Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order (2019)
  8. Ahmadidelir, Karim: On the non-commuting graph in finite Moufang loops (2018)
  9. Ellis, Graham; Fragnaud, Cédric: Computing with knot quandles (2018)
  10. Jaiyéọlá, T. G.; Adeniregun, A. A.; Asiru, M. A.: Finite FRUTE loops (2017)
  11. Jedlička, Přemysl; Stanovský, David; Vojtěchovský, Petr: Distributive and trimedial quasigroups of order 243 (2017)
  12. Kinyon, Michael K.; Nagy, Gábor P.; Vojtěchovský, Petr: Bol loops and Bruck loops of order (pq) (2017)
  13. Ahmadidelir, Karim: On the commutativity degree in finite Moufang loops (2016)
  14. Hulpke, Alexander; Stanovský, David; Vojtěchovský, Petr: Connected quandles and transitive groups (2016)
  15. Isere, A. O.; Adéníran, J. O.; Agboola, A. A. A.: Representations of finite Osborn loops (2016)
  16. Kinyon, Michael K.; Kunen, Kenneth; Phillips, J. D.; Vojtěchovský, Petr: The structure of automorphic loops (2016)
  17. Nagy, Gábor P.: Doubly transitive sets of even permutations (2016)
  18. Kinyon, Michael; Wanless, Ian M.: Loops with exponent three in all isotopes. (2015)
  19. Pasotti, Stefano; Zizioli, Elena: Loops, regular permutation sets and colourings of directed graphs. (2015)
  20. Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R.: Triple systems and binary operations (2014)

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