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Proceedings of the American Mathematical Society

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



Units in modular group rings

Authors: D. B. Coleman and D. S. Passman
Journal: Proc. Amer. Math. Soc. 25 (1970), 510-512
MSC: Primary 20.40
MathSciNet review: 0262360
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Abstract: Let $ G$ be a finite $ p$-group and let $ U(G)$ denote the group of normalized units in the modular group ring of $ G$. If $ G$ is nonabelian, then it is shown that the nonregular group $ {Z_p}\wr {Z_p}$ is involved in $ U(G)$. Here $ {Z_p}$ is the group with $ p$ elements and $ {Z_p}\wr {Z_p}$ is wreath product.

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Keywords: $ p$-group, group ring, group of units
Article copyright: © Copyright 1970 American Mathematical Society

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