Sozutov, A. I.; Kryukovskiĭ, A. S. 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. Cited in 1 Document MSC: 20E34 General structure theorems for groups 20E07 Subgroup theorems; subgroup growth 20E45 Conjugacy classes for groups 20F24 FC-groups and their generalizations Keywords:groups with almost perfect involutions; almost regular involutions; centralizers of involutions PDF BibTeX XML Cite \textit{A. I. Sozutov} and \textit{A. S. Kryukovskiĭ}, Algebra Logika 46, No. 1, 75--82 (2007; Zbl 1155.20028); translation in Algebra Logic 46, No. 1, 46--49 (2007) Full Text: DOI