Invariable generation of finite simple groups and rational homology of coset posets

DOI10.1016/j.jalgebra.2024.06.015MaRDI QIDQ6612182

Robert Guralnick, John Shareshian, Russ Woodroofe

Publication date: 30 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Smith theoryinvariable generationcoset poset

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A topological approach to evasiveness
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Maximal subgroups of \(G_2(2^n)\)
• Fixed-point sets of group actions on finite acyclic complexes
• Flag-transitive subgroups of Chevalley groups
• On the theory of power residues
• About the degree limit of the primitive groups that contain a given substitution.
• The coset poset and probabilistic zeta function of a finite group
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• The probabilistic zeta function of finite simple groups.
• Divisibility of binomial coefficients and generation of alternating groups
• Order complexes of coset posets of finite groups are not contractible.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Primary cyclotomic units and a proof of Catalans conjecture
• Maximal subgroups of sporadic groups
• Fixed-Point Theorems for Periodic Transformations
• On invariable generation of alternating groups by elements of prime and prime power order
• On a class of doubly transitive groups
• The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups
• Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order

This page was built for publication: Invariable generation of finite simple groups and rational homology of coset posets