Subspace arrangements, BNS invariants, and pure symmetric outer automorphisms of right-angled Artin groups

被引：6
作者：
Day, Matthew B. [1 ]
Wade, Richard D. [2 ]
机构：
[1] Univ Arkansas, Dept Math Sci, 309 SCEN, Fayetteville, AR 72701 USA
[2] Univ Oxford, Math Inst, Radcliffe Observ Quarter, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England
来源：
GROUPS GEOMETRY AND DYNAMICS | 2018年 / 12卷 / 01期
基金：
美国国家科学基金会;
关键词：
Right-angled Artin groups; partially commutative groups; outer automorphism groups; BNS invariants; Bieri-Neumann-Strebel invariants; subspace arrangements; homology theory; GRAPH GROUPS;
D O I：
10.4171/GGD/442
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a homology theory for subspace arrangements, and use it to extract a new system of numerical invariants from the Bieri-Neumann-Strebel invariant of a group. We use these to characterize when the set of basis conjugating outer automorphisms (a.k.a. the pure symmetric outer automorphism group) of a right-angled Artin group is itself a right-angled Artin group.
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页码：173 / 206
页数：34
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