On Units of Group Algebras of 2-Groups of Maximal Class

DOI10.1081/AGB-120039288zbMath1077.16032arXivmath/0507208MaRDI QIDQ3158304

Zsolt Balogh, Adalbert Bovdi

Publication date: 24 January 2005

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

Full work available at URL: https://arxiv.org/abs/math/0507208

zbMATH Keywords

groups of unitsmodular group algebrasisomorphism problem2-groups of maximal class

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (10)

Unitary units of the group algebra of modular groups ⋮ On the Unitary Subgroups of group algebras ⋮ Units in $F(C_n \times Q_{12})$ and $F(C_n \times D_{12})$ ⋮ Unitary subgroups of commutative group algebras of the characteristic two ⋮ Unnamed Item ⋮ On the incomplete oblique projections method for solving box constrained least squares problems ⋮ Unit groups of the finite group algebras of generalized quaternion groups ⋮ Unnamed Item ⋮ A comparison of group algebras of dihedral and quaternion groups ⋮ The unit group of some special semi-simple group algebras

Cites Work

• Modular group algebras of 2–groups of maximal class

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