The unitary subgroups of group algebras of a class of finite p-groups

DOI10.1142/S0219498823500433OpenAlexW3203915787MaRDI QIDQ5879283

Yu Lei Wang, He Guo Liu

Publication date: 28 February 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500433

zbMATH Keywords

central extensionnormalized unitgeneralized extraspecial \(p\)-groupunitary normalized unit

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

The order of the unitary subgroups of group algebras

Cites Work

• The automorphism group of a generalized extraspecial \(p\)-group.
• Unitary subgroups of commutative group algebras of the characteristic two
• Autodual normal bases and unitary groups of characteristic 2
• Automorphism Groups of Some Finite p-Groups
• UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^kQ₈
• On the order of the unitary subgroup of a modular group algebra
• On the Unitary Subgroups of group algebras
• The isomorphism problem of unitary subgroups of modular group algebras
• ALGEBRAIC CONSTRUCTION AND PROPERTIES OF HERMITIAN ANALOGS OFK-THEORY OVER RINGS WITH INVOLUTION FROM THE VIEWPOINT OF HAMILTONIAN FORMALISM. APPLICATIONS TO DIFFERENTIAL TOPOLOGY AND THE THEORY OF CHARACTERISTIC CLASSES. I
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