On groups with isolated involution

We prove that an isolated involution of an infinite group does not always belong to the preimage of the center of the quotient group by the maximal (periodic) subgroups without involution.

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Bibliographic Details
Published in:Siberian mathematical journal 2014-07, Vol.55 (4), p.706-714
Main Authors: Sozutov, A. I., Durakov, E. B.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:We prove that an isolated involution of an infinite group does not always belong to the preimage of the center of the quotient group by the maximal (periodic) subgroups without involution.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446614040120