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 20 articles )

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  1. Wood, Melanie Matchett: Nonabelian Cohen-Lenstra moments (2019)
  2. Eick, Bettina; Moede, Tobias: The enumeration of groups of order (p^nq) for (n\leq5) (2018)
  3. Mayer, Daniel C.: Annihilator ideals of two-generated metabelian (p)-groups (2018)
  4. Eick, Bettina; Horn, Max; Hulpke, Alexander: Constructing groups of `small’ order: recent results and open problems (2017)
  5. Paffenholz, Andreas: \textttpolyDB: a database for polytopes and related objects (2017)
  6. 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)
  7. Eick, Bettina; King, Simon: The isomorphism problem for graded algebras and its application to (\mathrmmod-p) cohomology rings of small (p)-groups. (2016)
  8. Bush, Michael R.; Mayer, Daniel C.: 3-class field towers of exact length 3 (2015)
  9. Distler, Andreas; Kelsey, Tom: The semigroups of order 9 and their automorphism groups. (2014)
  10. Eick, Bettina; Horn, Max: The construction of finite solvable groups revisited. (2014)
  11. Koshitani, Shigeo; Müller, Jürgen; Noeske, Felix: Broué’s Abelian defect group conjecture for the sporadic simple Janko group (J_4) revisited. (2014)
  12. Lavoura, L.; Ludl, P. O.: Residual (\mathbbZ_2\times\mathbbZ_2) symmetries and lepton mixing (2014)
  13. Holthausen, Martin; Lindner, Manfred; Schmidt, Michael A.: CP and discrete flavour symmetries (2013)
  14. Mayer, Daniel C.: The distribution of second (p)-class groups on coclass graphs (2013)
  15. Putzka, Jens Frederik Bernhard: A toolbox to compute the cohomology of arithmetic groups in case of the group (\mathrmSp_2(\mathbbZ)). (2013)
  16. Eick, Bettina: Collection by polynomials in finite (p)-groups. (2012)
  17. Holthausen, Martin; Schmidt, Michael A.: Natural vacuum alignment from group theory: the minimal case (2012)
  18. Merle, Alexander; Zwicky, Roman: Explicit and spontaneous breaking of (\operatornameSU(3)) into its finite subgroups (2012)
  19. Eick, Bettina; Konovalov, Alexander: The modular isomorphism problem for the groups of order 512. (2011)
  20. Dietrich, Heiko; Eick, Bettina; Feichtenschlager, Dörte: Investigating (p)-groups by coclass with GAP. (2008)