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Units in Group Rings of the Infinite Dihedral Group

Published online by Cambridge University Press:  20 November 2018

Maciej Mirowicz
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Abstract

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This paper studies the group of units U(RD∞) of the group ring of the infinite dihedral group D∞ over a commutative integral domain R. The structures of U(Z2D∞) and U(Z3D∞) are determined, and it is shown that U(ZD∞) is not finitely generated.

Keywords

16A27
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 83 - 89
Copyright
Copyright © Canadian Mathematical Society 1991

References

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3. Weiss, A., p-adic ridigity ofp-torsion, Ann. of Math. (1988).Google Scholar