On fixed point sets of distinguished collections for groups of parabolic characteristic

Abstract

We determine the nature of the fixed point sets of groups of order p, acting on complexes of distinguished p-subgroups (those p-subgroups containing p-central elements in their centers). The case when G has parabolic characteristic p is analyzed in detail.

15 pages

References in corpus (2)

• Propagating sharp group homology decompositions
• New collections of p-subgroups and homology decompositions for classifying spaces of finite groups

Cited by in corpus (1)

• On fixed point sets and Lefschetz modules for sporadic simple groups