Abstract

On the periodic part of the Shunkov group saturated with linear groups of degree 2 over finite fields of even characteristic

Highlights

  • A group G is saturated with groups from the set X if any finite subgroup of G contained in a subgroup of the group G, is isomorphic to a group from X

  • If all elements of finite order from G are contained in a periodic subgroup of G, it is called the periodic part of G and denoted by T (G) [3, p. 90]

  • Let G be a Shunkov group, a be an element of prime order from G, x be an involution from G

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Summary

Introduction

A Shunkov group with an infinite number of elements of finite order has an infinite locally finite subgroup [10, Lemma 1]. Let G be a Shunkov group, a be an element of prime order from G, x be an involution from G.

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