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Higher generating subgroups and Cohen–Macaulay complexes

Published online by Cambridge University Press:  17 December 2019

Benjamin Brück*
Affiliation:
Bielefeld University, PO Box 10 01 31, D-33501Bielefeld, Germany (benjamin.brueck@uni-bielefeld.de)

Abstract

We show how to find higher generating families of subgroups, in the sense of Abels and Holz, for groups acting on Cohen–Macaulay complexes. We apply this to groups with a BN-pair to prove higher generation by parabolic and Levi subgroups and describe higher generating families of parabolic subgroups in Aut(Fn).

MSC classification

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2019

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