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Higher generating subgroups and Cohen–Macaulay complexes
Published online by Cambridge University Press: 17 December 2019
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).
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 63 , Issue 1 , February 2020 , pp. 275 - 285
- Copyright
- Copyright © Edinburgh Mathematical Society 2019
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