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On the unit groups of Burnside rings of finite groups

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Publication:1167268
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DOI10.2969/jmsj/03520345zbMath0491.20004OpenAlexW2033635699MaRDI QIDQ1167268

Takehiko Miyata, Toshimitsu Matsuda

Publication date: 1983

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/03520345


zbMATH Keywords

dihedral groupsurjectivityunit groupgroup extensionreal representation ringrestriction homomorphismBurnside ring of finite group


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Homotopy groups, general; sets of homotopy classes (55Q05) Homological methods in group theory (20J05) Units, groups of units (associative rings and algebras) (16U60)


Related Items

Normalizing isomorphisms between Burnside rings ⋮ On the unit group of the Burnside ring as a biset functor for some solvable groups ⋮ The Brauer group of Burnside rings ⋮ Embeddings and units of Burnside rings ⋮ Categorical constructions related to finite groups ⋮ Unnamed Item ⋮ Units of Burnside rings of elementary abelian 2-groups ⋮ Multiplicative induction and units for the ring of monomial representations ⋮ A functorial presentation of units of Burnside rings



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