The construction of finite solvable groups revisited.

DOI10.1016/j.jalgebra.2013.09.028zbMath1311.20016arXiv1306.4239OpenAlexW2106382254MaRDI QIDQ402704

Max Horn, Bettina Eick

Publication date: 28 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4239

zbMATH Keywords

classificationalgorithmsfinite solvable groupsextensionsenumerationsmall groups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45) Extensions, wreath products, and other compositions of groups (20E22) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (4)

The enumeration of groups of order \(p^{n}q\) for \(n\leq 5\) ⋮ Constructing Groups of ‘Small’ Order: Recent Results and Open Problems ⋮ New Lie products for groups and their automorphisms ⋮ GroupExt

Uses Software

• GAP
• SmallGroups Library
• AutPGrp
• Polycyclic
• FGA
• Genss

Cites Work

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• THE GROUPS OF ORDER qⁿ· p
• The groups of order at most 2000
• Zu einem von B. H. und H. Neumann gestellten Problem
• APPLICATION OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE, II
• THE 2-GENERATOR RESTRICTED BURNSIDE GROUP OF EXPONENT 7
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• Endliche Gruppen mit treuen absolut‐irreduziblen Darstellungen

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