SmallGroups Library

The SmallGroups Library: This library has the status of an accepted GAP package, communicated in January 2002 by Mike F. Newman, Canberra. The SmallGroups Library contains all groups of certain ’small’ orders. The word ’Small’ is used to mean orders less than a certain bound and orders whose prime factorisation is small in some sense. The groups are sorted by their orders and they are listed up to isomorphism; that is, for each of the available orders a complete and irredundant list of isomorphism type representatives of groups is given. Currently, the library contains the following groups: ...

References in zbMATH (referenced in 27 articles )

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  1. Dietrich, Heiko; Eick, Bettina; Pan, Xueyu: Groups whose orders factorise into at most four primes (2022)
  2. Dietrich, Heiko; Low, Darren: Generation of finite groups with cyclic Sylow subgroups (2021)
  3. Azizi, Abdelmalek; Kishi, Yasuhiro; Mayer, Daniel C.; Talbi, Mohamed; Talbi, Mohammed: 5-class towers of cyclic quartic fields arising from quintic reflection (2020)
  4. Mayer, Daniel C.: Differential principal factors and Pólya property of pure metacyclic fields (2019)
  5. Wood, Melanie Matchett: Nonabelian Cohen-Lenstra moments (2019)
  6. Eick, Bettina; Moede, Tobias: The enumeration of groups of order (p^nq) for (n\leq5) (2018)
  7. Mayer, Daniel C.: Annihilator ideals of two-generated metabelian (p)-groups (2018)
  8. de Medeiros Varzielas, Ivo; Rasmussen, Rasmus W.; Talbert, Jim: Bottom-up discrete symmetries for Cabibbo mixing (2017)
  9. Eick, Bettina; Horn, Max; Hulpke, Alexander: Constructing groups of `small’ order: recent results and open problems (2017)
  10. Jurčiukonis, Darius; Lavoura, Luís: \textttGAPlisting of the finite subgroups of (U(3)) of order smaller than 2000 (2017)
  11. Paffenholz, Andreas: \textttpolyDB: a database for polytopes and related objects (2017)
  12. Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C.: The group (\mathrmGal(k_3^(2)|k)) for (k=\mathbbQ(\sqrt-3,\sqrtd)) of type ((3,3)) (2016)
  13. Eick, Bettina; King, Simon: The isomorphism problem for graded algebras and its application to (\mathrmmod-p) cohomology rings of small (p)-groups. (2016)
  14. Bush, Michael R.; Mayer, Daniel C.: 3-class field towers of exact length 3 (2015)
  15. Distler, Andreas; Kelsey, Tom: The semigroups of order 9 and their automorphism groups. (2014)
  16. Eick, Bettina; Horn, Max: The construction of finite solvable groups revisited. (2014)
  17. Koshitani, Shigeo; Müller, Jürgen; Noeske, Felix: Broué’s Abelian defect group conjecture for the sporadic simple Janko group (J_4) revisited. (2014)
  18. Lavoura, L.; Ludl, P. O.: Residual (\mathbbZ_2\times\mathbbZ_2) symmetries and lepton mixing (2014)
  19. Mayer, Daniel C.: Principalization algorithm via class group structure (2014)
  20. Holthausen, Martin; Lindner, Manfred; Schmidt, Michael A.: CP and discrete flavour symmetries (2013)

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