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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Group rings with solvable $n$-Engel unit groups


Authors: J. L. Fisher, M. M. Parmenter and S. K. Sehgal
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
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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.


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Keywords: Group rings, <IMG WIDTH="18" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$n$">-Engel, solvable
Article copyright: © Copyright 1976 American Mathematical Society