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On the units of the integral group ring of a dihedral group

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Publication:1144125
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DOI10.2969/jmsj/03240703zbMath0443.20008OpenAlexW1989696581MaRDI QIDQ1144125

Takehiko Miyata

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2969/jmsj/03240703


zbMATH Keywords

dihedral grouplocally free class groupintegral group ringnormalized unit group


Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Units, groups of units (associative rings and algebras) (16U60)


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On the unit groups of the integral group rings of metacyclic groups ⋮ Zur Einheitengruppe der ganzzahligen Gruppenringe metazyklischer Frobeniusgruppen ⋮ Picard groups and automorphism groups of integral group rings of metacyclic groups ⋮ Units in metabelian group rings: Non-splitting examples for normalized units ⋮ Conjugacy classes of torsion units of the integral group ring of dp ⋮ Units in group rings: Splittings and the isomorphism problem



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