Primary and biprimary class sizes implying nilpotency of finite groups

DOI10.3906/mat-1504-79zbMath1424.20015OpenAlexW2263381298WikidataQ59255712 ScholiaQ59255712MaRDI QIDQ4633114

Changguo Shao, Qinhui Jiang

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1504-79

zbMATH Keywords

finite groupsconjugacy class sizesprimary and biprimary elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Structure of finite groups with four conjugacy class sizes of certain elements ⋮ A constructive approach: From local subgroups to new classes of finite groups

Cites Work

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• On conjugacy class sizes of primary and biprimary elements of a finite group.
• On the conjugacy class lengths of finite groups.
• Notes on the length of conjugacy classes of finite groups.
• Finite groups with exactly two class lengths of elements of prime power order
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• Normal subgroups and class sizes of elements of prime power order
• Some class size conditions implying solvability of finite groups
• Prime powers as conjugacy class lengths of π-elements
• Endliche Gruppen I
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group
• On Finite Groups with Given Conjugate Types I
• Conjugacy class sizes and solvability of finite groups.

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