Group algebras whose groups of normalized units have exponent 4

Victor Bovdi; Mohammed Salim

doi:10.21136/CMJ.2018.0386-16

Group algebras whose groups of normalized units have exponent 4

Victor Bovdi, Mohammed Salim

Department of Mathematical Sciences

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

1 Citation (Scopus)

Abstract

We give a full description of locally finite 2-groups G such that the normalized group of units of the group algebra FG over a field F of characteristic 2 has exponent 4.

Original language	English
Pages (from-to)	141-148
Number of pages	8
Journal	Czechoslovak Mathematical Journal
Volume	68
Issue number	1
DOIs	https://doi.org/10.21136/CMJ.2018.0386-16
Publication status	Published - Mar 1 2018

Keywords

group of exponent 4
modular group algebra
unit group

ASJC Scopus subject areas

Mathematics(all)

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10.21136/CMJ.2018.0386-16

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title = "Group algebras whose groups of normalized units have exponent 4",

abstract = "We give a full description of locally finite 2-groups G such that the normalized group of units of the group algebra FG over a field F of characteristic 2 has exponent 4.",

keywords = "group of exponent 4, modular group algebra, unit group",

author = "Victor Bovdi and Mohammed Salim",

note = "Funding Information: Supported by UAEU grants: Publisher Copyright: {\textcopyright} 2018, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.",

year = "2018",

month = mar,

day = "1",

doi = "10.21136/CMJ.2018.0386-16",

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AU - Salim, Mohammed

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AB - We give a full description of locally finite 2-groups G such that the normalized group of units of the group algebra FG over a field F of characteristic 2 has exponent 4.

KW - group of exponent 4

KW - modular group algebra

KW - unit group

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JF - Czechoslovak Mathematical Journal

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Group algebras whose groups of normalized units have exponent 4

Abstract

Keywords

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