FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 3, PAGES 117-137

**A class of finite groups with Abelian centralizer of an element of
order $3$ of type
$(3,2,2)$**

V. I. Loginov

Abstract

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In this work, we study the structure of finite groups in which the
centralizer of an element of order $3$ is isomorphic to
$$**Z**_{3} ´ **Z**_{2} ´ **Z**_{2}.
The analysis is restricted to the class of groups whose order is not
divisible by the prime number $5$.
It is shown that among finite simple groups such groups do not exist,
and a detailed possible internal general structure of such groups
is investigated.
We use only those results that have been published before 1980.

Location: http://mech.math.msu.su/~fpm/eng/k13/k133/k13308h.htm

Last modified: March 4, 2014