On the order of the unitary subgroup of a modular group algebra

DOI10.1080/00927870008826934zbMath0952.16022arXivmath/0009033OpenAlexW2963152014MaRDI QIDQ4953298

Victor A. Bovdi, Antonio L. Rosa

Publication date: 9 January 2001

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

Full work available at URL: https://arxiv.org/abs/math/0009033

zbMATH Keywords

finite \(p\)-groupsunitary unitsnumbers of symmetric unitsunits in group algebras

Mathematics Subject Classification ID

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

Related Items (26)

On the isomorphism of unitary subgroups of noncommutative group algebras ⋮ Modular group algebras whose group of unitary units is locally nilpotent ⋮ THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA OF PAULI'S GROUP OVER ANY FIELD OF CHARACTERISTIC 2 ⋮ Unitary units of the group algebra of modular groups ⋮ Unnamed Item ⋮ On the Unitary Subgroups of group algebras ⋮ UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3 ⋮ Units of group algebras of non-Abelian groups of order 16 and exponent 4 over \(\mathbb F_{2^k}\). ⋮ The normal complement problem and the structure of the unitary subgroup ⋮ On the unit group of a semisimple group algebra and the normal complement problem ⋮ Unitary subgroups of commutative group algebras of the characteristic two ⋮ Units in modular group algebra ⋮ Structure of the unitary subgroup of the group algebra 𝔽2n(QD)16 ⋮ UNITS IN F₂D_2p ⋮ Constructions for self-dual codes induced from group rings ⋮ Autodual normal bases and unitary groups of characteristic 2 ⋮ ON THE STRUCTURE OF THE UNITARY SUBGROUP OF THE GROUP ALGEBRA 𝔽_2^qD_2ⁿ ⋮ Normalized unit groups and their conjugacy classes ⋮ UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^kQ₈ ⋮ UNITS OF THE GROUP ALGEBRA 𝔽₂κ(C₂× D₈) ⋮ ON THE UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^mM₁₆ ⋮ The structure of the unit group of the group algebra $\mathbb{F}_{2^k } A_4 $ ⋮ On the unitary units of the group algebra 𝔽_2^kQ₁₆ ⋮ On the order of unitary subgroup of the modular group algebra 𝔽_2^kD_2N ⋮ The order of the unitary subgroups of group algebras ⋮ The unitary subgroups of group algebras of a class of finite p-groups

Cites Work

• Unitary units in modular group algebras
• Unitary elements in simple Artinian rings
• Unitary units in modular group algebras of 2-groups

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