Symmetric units in modular group algebras

Victor Bovdi; L. G. Kovács; S. K. Sehgal

doi:10.1080/00927879608825601

Symmetric units in modular group algebras

Victor Bovdi, L. G. Kovács, S. K. Sehgal

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g → g^-1 of G extends linearly to an anti-automorphism a → a* of KG. An element a of KG is called symmetric if a* = a. In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group.

Original language	English
Pages (from-to)	803-808
Number of pages	6
Journal	Communications in Algebra
Volume	24
Issue number	3
DOIs	https://doi.org/10.1080/00927879608825601
Publication status	Published - 1996
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927879608825601

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title = "Symmetric units in modular group algebras",

abstract = "Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g → g-1 of G extends linearly to an anti-automorphism a → a* of KG. An element a of KG is called symmetric if a* = a. In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group.",

author = "Victor Bovdi and Kov{\'a}cs, {L. G.} and Sehgal, {S. K.}",

note = "Funding Information: V. Bovdi is indebted to the University of Alberta for warm hospitality and generous support during a period when part of this work was done. His research was also supported by the Hungarian National Foundation for Scientific Research grant No. T 014279.",

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T1 - Symmetric units in modular group algebras

AU - Bovdi, Victor

AU - Kovács, L. G.

AU - Sehgal, S. K.

N1 - Funding Information: V. Bovdi is indebted to the University of Alberta for warm hospitality and generous support during a period when part of this work was done. His research was also supported by the Hungarian National Foundation for Scientific Research grant No. T 014279.

PY - 1996

Y1 - 1996

N2 - Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g → g-1 of G extends linearly to an anti-automorphism a → a* of KG. An element a of KG is called symmetric if a* = a. In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group.

AB - Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g → g-1 of G extends linearly to an anti-automorphism a → a* of KG. An element a of KG is called symmetric if a* = a. In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group.

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JF - Communications in Algebra

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Symmetric units in modular group algebras

Abstract

ASJC Scopus subject areas

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