Finite groups with trivial class groups

DOI10.1080/0308653042000329997zbMath0396.20004OpenAlexW2089786164WikidataQ58554224 ScholiaQ58554224MaRDI QIDQ1253312

Yumiko Hironaka, Shizuo Endo

Publication date: 1979

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0308653042000329997

zbMATH Keywords

Maximal OrderFinite Groups with Trivial Class GroupsLocally Free Left ModulesMayer-Vietoris Sequences

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Abstract finite groups (20D99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Grothendieck groups, (K)-theory and commutative rings (13D15) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (4)

Rationality Problem for Algebraic Tori ⋮ On the equivariant Tamagawa number conjecture for \(A_4\)-extensions of number fields ⋮ On the class groups of dihedral groups ⋮ Linearity of homotopy representations. II

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