2-groups with few conjugacy classes

DOI10.1017/S0013091500020824zbMath0953.20009OpenAlexW2064226615MaRDI QIDQ4487700

Nigel Boston, Judy L. Walker

Publication date: 22 June 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500020824

zbMATH Keywords

conjugacy classesfinite \(p\)-groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (1)

New lower bounds for the number of conjugacy classes in finite nilpotent groups

Uses Software

• Magma

Cites Work

• Unnamed Item
• Classification of finite groups according to the number of conjugacy classes
• Classification of finite groups according to the number of conjugacy classes. II
• A lower bound for the number of conjugacy classes in a finite nilpotent group
• On the order of \(p\)-groups of abundance zero
• The structure of finite \(p\)-groups: Effective proof of the coclass conjectures
• The \(p\)-group generation algorithm
• Enumerating p -Groups. I: Inequalities
• Finite Groups Have Many Conjugacy Classes
• SOME NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS AND LARGE DERIVED LENGTH
• On Large Cyclic Subgroups of Finite Groups
• Classifying 2-groups by coclass
• On some problems of a statistical group-theory. IV

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