an:05383369
Zbl 1155.20028
Sozutov, A. I.; Kryukovski??, A. S.
Groups with elementary Abelian centralizers of involutions
RU EN
Algebra Logika 46, No. 1, 75-82 (2007); translation in Algebra Logic 46, No. 1, 46-49 (2007).
00235446
2007
j
20E34 20E07 20E45 20F24
groups with almost perfect involutions; almost regular involutions; centralizers of involutions
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.