Abstract
We characterize the group algebras of finite groups over a field of characteristic 2 with metabelian groups of units.
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References
A. A.Bovdi, I. I.Khripta, Group algebras of torsion groups with a solvable multiplicative group,Mat. Zametki 22 (1977), 421–432, MR #78 5761.
A. A.Bovdi, I. I.Khripta, On solvable invariant subgroups in the unit group of the group ring of a periodic group,Acta Comment. Univ. Tartu 700 (1984), 3–10, MR #87a:200034.
D.Gorenstein,Finite Groups, Harper & Row, New York, 1968.
F. Levin, G. Rosenberger, Lie metabelian group rings, in:Group and Semigroup Rings, G. Karpilovsky (ed.), North-Holland, 1986, 153–161
D. J.Robinson,Finiteness Conditions and Generalized Soluble Groups, Springer, Heidelberg, 1972.
S. K.Sehgal,Topics in Group Rings, Marcel Dekker, New York, 1978.
A.Shalev, Meta-abelian unit groups of group algebras are usually abelian,J. Pure and Appl. Algebra 72 (1991), 295–302 MR #92g:20005.
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Dedicated to Professor László Fuchs on his 70th birthday
Research was supported by Hungarian National Fund for Scientific Research grant No. T014279
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Kurdics, J. On group algebras with metabelian unit groups. Period Math Hung 32, 57–64 (1996). https://doi.org/10.1007/BF01879732
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DOI: https://doi.org/10.1007/BF01879732