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1. CMB 2000 (vol 43 pp. 60)

Farkas, Daniel R.; Linnell, Peter A.
 Trivial Units in Group Rings Let \$G\$ be an arbitrary group and let \$U\$ be a subgroup of the normalized units in \$\mathbb{Z}G\$. We show that if \$U\$ contains \$G\$ as a subgroup of finite index, then \$U = G\$. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring of a crystallographic group. Keywords:units, trace, finite conjugate subgroupCategories:16S34, 16U60