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arXiv · 1901.04204

Higher generating subgroups and Cohen-Macaulay complexes

Benjamin Brück
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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(F_n).

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Benjamin Brück. 2019-08-02. Higher generating subgroups and Cohen-Macaulay complexes. https://doi.org/10.1017/s0013091519000415

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