THE GROUPS OF ORDER qn· p

DOI10.1081/AGB-100002131zbMath1056.20016OpenAlexW2331634961MaRDI QIDQ2752399

Bettina Eick, Hans Ulrich Besche

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1081/agb-100002131

zbMATH Keywords

finite \(p\)-groupsisomorphism classes of finite groups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (6)

A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS ⋮ The enumeration of groups of order \(p^{n}q\) for \(n\leq 5\) ⋮ CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS ⋮ Constructing Groups of ‘Small’ Order: Recent Results and Open Problems ⋮ The construction of finite solvable groups revisited. ⋮ The groups of order at most 2000

Uses Software

• GAP

Cites Work

• The groups of order 256
• Construction of finite groups
• The groups of order at most 1000 except 512 and 768
• Computing a set of generators of minimal cardinality in a solvable group
• The \(p\)-group generation algorithm
• Automorphism groups of 2-groups.

This page was built for publication: THE GROUPS OF ORDER qⁿ· p