Higher generating subgroups and Cohen–Macaulay complexes. Issue 1 (17th February 2020)

• Record Type: Journal Article
• Authors: Brück, Benjamin
• Is Part Of: Proceedings of the Edinburgh Mathematical Society. Volume 63:Issue 1(2020)
• Page Start: 275
• Page End: 285
• Publication Date: 2020-02-17
• Subjects: higher generating subgroups, -- Cohen–Macaulay complexes, -- groups with BN-pair, -- Tits buildings, -- automorphism groups of free groups; 20F65; Mathematics -- Periodicals; 510
• DOI: 10.1017/S0013091519000415
• Languages: English
• ISSNs: 0013-0915

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( F n ).