Central units of the integral group ring

Authors:
Yuanlin Li and M. M. Parmenter

Journal:
Proc. Amer. Math. Soc. **125** (1997), 61-65

MSC (1991):
Primary 16U60, 20C05

MathSciNet review:
1353390

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Abstract: There are very few cases known of nonabelian groups where the group of central units of , denoted , is nontrivial and where the structure of , including a complete set of generators, has been determined. In this note, we show that the central units of augmentation 1 in the integral group ring form an infinite cyclic group , and we explicitly find the generator .

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Additional Information

**Yuanlin Li**

Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7

Email:
yuanlin@fermat.math.mun.ca

**M. M. Parmenter**

Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7

Email:
mparmen@plato.ucs.mun.ca

DOI:
https://doi.org/10.1090/S0002-9939-97-03626-5

Received by editor(s):
July 22, 1995

Additional Notes:
The second author was supported in part by NSERC grant A8775.

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1997
American Mathematical Society