Central units of the integral group ring ![]() |
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| Authors: | Yuanlin Li M. M. Parmenter |
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| Affiliation: | Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7 ; Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7 |
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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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