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
DOI:
https://doi.org/10.1090/S0002-9939-1970-0262360-5
MathSciNet review:
0262360
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Abstract | References | Similar Articles | Additional Information
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.
- Marshall Hall Jr., The theory of groups, The Macmillan Co., New York, N.Y., 1959. MR 0103215
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Keywords:
<IMG WIDTH="16" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$p$">-group,
group ring,
group of units
Article copyright:
© Copyright 1970
American Mathematical Society