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Normed units in abelian group rings

Published online by Cambridge University Press:  25 July 2002

Peter Danchev
Peter Danchev
Affiliation:
Department of Mathematics, University of Plovdiv, Plovdiv 4000, Bulgaria BG e-mail: peter_v@bulstrad.bg
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We compute explicitly the isomorphic structure of the normalized unit group of an abelian group ring under some minimal natural restrictions on the group basis and the coefficient ring. This enlarges affirmations due to Chatzidakis-Pappas (J. London Math. Soc., 1991) and Mollov (Publ. Math. Debrecen, 1971).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 3 , May 2001 , pp. 365 - 373
Copyright
2001 Glasgow Mathematical Journal Trust