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Groups with elementary Abelian centralizers of involutions. (Russian, English) Zbl 1155.20028
Algebra Logika 46, No. 1, 75-82 (2007); translation in Algebra Logic 46, No. 1, 46-49 (2007).
Summary: An involution $$i$$ of a group $$G$$ is said to be almost perfect in $$G$$ if any two involutions of $$i^G$$ the order of the product of which is infinite are conjugated via a suitable involution in $$i^G$$. We generalize a known result by Brauer, Suzuki, and Wall concerning the structure of finite groups with elementary Abelian centralizers of involutions to groups with almost perfect involutions.

##### MSC:
 20E34 General structure theorems for groups 20E07 Subgroup theorems; subgroup growth 20E45 Conjugacy classes for groups 20F24 FC-groups and their generalizations
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