Group rings with solvable $n$-Engel unit groups
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- by J. L. Fisher, M. M. Parmenter and S. K. Sehgal
- Proc. Amer. Math. Soc. 59 (1976), 195-200
- DOI: https://doi.org/10.1090/S0002-9939-1976-0417231-3
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Abstract:
Let $KG$ be the group ring of a group $G$ over a field of characteristic $p \geqslant 0,\;p \ne 2,\;3$. Suppose $G$ contains no element of order $p$ (if $p > 0$). Group algebras $KG$ with unit group $U(KG)$ solvable and $n$-Engel are characterized.References
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Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 195-200
- MSC: Primary 16A26
- DOI: https://doi.org/10.1090/S0002-9939-1976-0417231-3
- MathSciNet review: 0417231