Subgroups inducing the same permutation representation

DOI10.1016/0021-8693(83)90191-6zbMath0527.20005OpenAlexW4210798302MaRDI QIDQ595771

Robert M. Guralnick

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90191-6

zbMATH Keywords

maximal subgroupszeta-functionscharacter of permutation representationGalois group of extension field over rationals

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Zeta functions and (L)-functions of number fields (11R42)

Related Items (21)

Representations of finite groups ⋮ On nondegenerate CM-types ⋮ Subgroups of finite_p-groups inducing the same permutation character ⋮ Isospectral surfaces of small genus ⋮ Some generalized characters associated to a transitive permutation group ⋮ Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds ⋮ Subgroups of finite soluble groups inducing the same permutation character ⋮ Isospectral drums and simple groups ⋮ Zeroes of permutation characters with applications to prime splitting and Brauer groups ⋮ Fields arithmetically equivalent to a radical extension of the rationals ⋮ On the solvability of finite groups ⋮ Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds ⋮ Small linearly equivalent \(G\)-sets and a construction of Beaulieu. ⋮ Kronecker conjugacy of polynomials ⋮ The \(k\)-orbit reconstruction and the orbit algebra ⋮ Isospectral plane domains and surfaces via Riemannian orbifolds ⋮ Geometric coverings of groups and their directions ⋮ One can't hear orientability of surfaces ⋮ Linearly equivalent actions of solvable groups ⋮ Traces, lengths, axes and commensurability ⋮ Subgroups inducing the same permutation representation. II

Cites Work

• Subgroups of prime power index in a simple group
• Fixed points and \(\pi\)-characters in \(\pi\)-separable groups.
• Solvable generation of groups and Sylow subgroups of the lower central series
• New criteria for the solvability of finite groups
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Cohomological topics in group theory.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Subgroups inducing the same permutation representation