Order complexes of coset posets of finite groups are not contractible-Reference-Cited by-同舟云学术

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Order complexes of coset posets of finite groups are not contractible

Published:2016-03 Issue: Volume:291 Page:758-773
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Shareshian John,Woodroofe Russ

Funder

NSF

European Social Fund

Ministry of Education, Science and Sport of the Republic of Slovenia

Publisher

Elsevier BV

Subject

General Mathematics

Reference49 articles.

1. Higher generation by subgroups;Abels;J. Algebra,1993

2. Finite Group Theory;Aschbacher,2000

3. Combinatorial reciprocity theorems;Beck;Jahresber. Dtsch. Math.-Ver.,2012

4. Topological methods;Björner,1995

5. A probabilistic generalization of the Riemann zeta function;Boston,1996

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1. Invariable generation of finite simple groups and rational homology of coset posets;Journal of Algebra;2024-12

2. Overgroup coset complexes in finite groups;Journal of Algebra;2024-07

3. On invariable generation of alternating groups by elements of prime and prime power order;Mathematics of Computation;2023-01-06

4. Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs);Journal of the London Mathematical Society;2022-01

5. Ore's theorem on subfactor planar algebras;Quantum Topology;2020-09-24

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