The Whitehead groups of dihedral 2-groups

DOI10.1016/0022-4049(73)90005-4zbMath0266.20005OpenAlexW1995601571MaRDI QIDQ2562398

Tadao Obayashi

Publication date: 1973

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(73)90005-4

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (4)

\(SK_1\) for finite groups rings. I ⋮ Surjective stability of units and simple homotopy type ⋮ \(SK_1\) of dihedral groups ⋮ Whitehead groups of finite groups

Cites Work

• Unnamed Item
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• On the Whitehead group of the dihedral group of order 2p
• Whitehead groups of some metacyclic groups and orders
• Induction theorems for Grothendieck groups and Whitehead groups of finite groups
• On the Tertiary Decomposition

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