×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI