Article ID Journal Published Year Pages File Type
4587147 Journal of Algebra 2009 32 Pages PDF
Abstract

We analyse a minimal counterexample to Glauberman's Z∗-Theorem from a local group theoretic point of view. One of the main results is a group theoretic proof for the Z∗-Theorem in the special case where the centraliser of an isolated involution is soluble.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory