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Finite groups of conjugate rank 2

Published:1974-05 Issue: Volume:53 Page:47-57
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Camina Alan R.

Abstract

In 1953 N. Itô defined the conjugate rank of a finite group as the number of distinct sizes, not equal to 1, of the conjugacy classes of the group [7].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. On Finite Groups with Given Conjugate Types I

2. Endliche Gruppen I

3. On finite groups with dihedral Sylow 2-subgroups;Gorenstein;Illinois J. Math.,1962

4. ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP

5. On finite groups with given conjugate type II;Itô;Osaka J. Math.,1970

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1. On the conjugate type vector and the structure of a normal subgroup;Czechoslovak Mathematical Journal;2021-11-18

2. ONE-PRIME POWER HYPOTHESIS FOR CONJUGACY CLASS SIZES;INT J GROUP THEORY;2017

3. SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS;Bulletin of the Australian Mathematical Society;2014-07-21

4. Class sizes of prime-power order $$p'$$ p ′ -elements and normal subgroups;Annali di Matematica Pura ed Applicata (1923 -);2014-06-10

5. Normal sections, class sizes and solvability of finite groups;Journal of Algebra;2014-02

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