Czechoslovak Mathematical Journal, Vol. 68, No. 1, pp. 141-148, 2018
Group algebras whose groups of normalized units have exponent 4
Victor Bovdi, Mohammed Salim
Received July 20, 2016. First published January 16, 2018.
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; unit group; modular group algebra
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Affiliations: Victor Bovdi, Mohammed Salim, Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 1551, Al Ain, United Arab Emirates, e-mail: vbovdi@gmail.com, msalim@uaeu.ac.ae
