Hopf algebra orders determined by group valuations

DOI10.1016/0021-8693(76)90232-5zbMath0407.20007OpenAlexW2051979350MaRDI QIDQ1257963

Richard Gustavus Larson

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90232-5

zbMATH Keywords

Degree of An Absolutely Irreducible RepresentationGroup ValuationsHopf Algebra Orders of the Group RingIto's Theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Abstract finite groups (20D99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Breuil–Kisin Modules and Hopf Orders in Cyclic Group Rings ⋮ Maximal tame extensions over Hopf orders in rings of integers of \(\mathfrak p\)-adic number fields. ⋮ Tame and Galois extensions with respect to Hopf orders ⋮ Models of group schemes of roots of unity ⋮ Hopf filtrations and Larson-type orders in Hopf algebras ⋮ Realizable Hopf orders in \(KC_{p^3}\). ⋮ Hopf orders via Breuil modules. ⋮ Duality for Hopf orders ⋮ Sequences of Hopf-Swan subgroups. ⋮ An Isomorphism for the Grothendieck Ring of a Hopf Algebra Order ⋮ p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS ⋮ Nilpotent elements in integral representation rings of Hopf-algebra orders in group algebras of prime order ⋮ Isogenies of polynomial formal groups ⋮ Non‐existence of Hopf orders for a twist of the alternating and symmetric groups ⋮ The structure and realizability of R-hopf algebra orders in KC_p³ ⋮ The Equivariant Brauer Group of a Cocommutative Hopf Algebra ⋮ Dual Hopf orders in group rings of elementary Abelian \(p\)-groups. ⋮ Integral Hopf-Galois structures on degree \(p^2\) extensions of \(p\)-adic fields ⋮ Primitively generated Hopf orders in characteristicp

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