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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… Click to show full abstract
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).
Keywords:
higher generating;
macaulay complexes;
generating subgroups;
cohen macaulay;
subgroups cohen
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2019
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!