The Class Number of Derived Subgroups and the Structure of Camina Groups

The Class Number of Derived Subgroups and the Structure of Camina Groups

Year:    2010

Author:    Junxin Wang

Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 144–158

Abstract

A finite group $G$ is called a Camina group if $G$ has a proper normal subgroup $N$ such that $gN$ is precisely a conjugacy class of $G$ for any $g ∈ G − N$. In this paper, the structure of a Camina group $G$ is determined when $N$ is a union of 2, 3 or 4 conjugacy classes of $G$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2010-CMR-19168

Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 144–158

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Camina group conjugacy class Frobenius group.

Author Details

Junxin Wang