SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS

DOI10.1017/S0004972714000495zbMath1309.20021WikidataQ59255737 ScholiaQ59255737MaRDI QIDQ2922938

Changguo Shao, Qinhui Jiang

Publication date: 15 October 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupssolvabilityprimary elementsconjugacy class sizesbiprimary elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (3)

Structure of finite groups with four conjugacy class sizes of certain elements ⋮ Finite groups with exactly one composite conjugacy class size ⋮ Determining group structure by set of conjugacy class sizes

Cites Work

• On conjugacy class sizes of primary and biprimary elements of a finite group.
• On an extension of a theorem on conjugacy class sizes.
• The theory of finite groups. An introduction.
• Notes on the length of conjugacy classes of finite groups.
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• CONJUGACY CLASS SIZE CONDITIONS WHICH IMPLY SOLVABILITY
• ITÔ’S THEOREM ON GROUPS WITH TWO CLASS SIZES REVISITED
• Some class size conditions implying solvability of finite groups
• FINITE GROUPS WITH TWO p-REGULAR CONJUGACY CLASS LENGTHS II
• ‘CONJUGACY CLASS SIZE CONDITIONS WHICH IMPLY SOLVABILITY’
• Finite groups of conjugate rank 2

This page was built for publication: SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS