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groups with bn-pair

Proceedings of the Edinburgh Mathematical Society (1)

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Higher generating subgroups and Cohen–Macaulay complexes
Part of
- Special aspects of infinite or finite groups
Benjamin Brück
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 63 / Issue 1 / February 2020

Published online by Cambridge University Press:

17 December 2019, pp. 275-285
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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).