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Title of Article

INVESTIGATION OF PROPERTIES OF INJECTORS IN FINITE GROUPS


Issue
1
Date
2014

Article type
scientific article
UDC
512.542
Pages
197-202
Keywords
implex, polyhedron, homology group, algorithm, minimization


Authors
Goyko V.I.
Gomelskiy gosudarstvennyy tekhnicheskiy universitet im. P.O. Sukhogo


Abstract
Hermann constructed a special class of groups N( p , q ) (the class of finite groups without minimal non- p -nilpotent sub-groups of orderp m q n, p , q - prime,p ? q; m, n - any natural numbers) and proved that this class of groups was an unsa-turated Fitting formation. V. Goiko proved the existence of N( p , q )-injectors in arbitrary finite groups. In the present paper, the properties of N( p , q )-injectors in finite groups are established.

File (in Russian)