Subgroups inducing the same permutation representation. II

DOI10.1016/0021-8693(85)90041-9zbMath0577.20005OpenAlexW1965011503MaRDI QIDQ1065922

Robert M. Guralnick, David B. Wales

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90041-9

zbMATH Keywords

arithmetically equivalent number fieldszeta functioninduced representationsSylow p-subgroup\({\mathbb{Q}}G\)-modules\({\mathbb{Z}}_ pG\)-modulesnon- conjugate subgroupsp-part of class numbers

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) Iwasawa theory (11R23) Other nonanalytic theory (11S85)

Related Items (8)

On the Mumford-Tate group of an abelian variety with complex multiplication ⋮ Subgroups of finite_p-groups inducing the same permutation character ⋮ Stronger arithmetic equivalence ⋮ Zeroes of permutation characters with applications to prime splitting and Brauer groups ⋮ Fields arithmetically equivalent to a radical extension of the rationals ⋮ Small linearly equivalent \(G\)-sets and a construction of Beaulieu. ⋮ Linearly equivalent actions of solvable groups ⋮ On equivalent number fields with special Galois groups

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