The Sufficient and Necessary Conditions on Group G So that U is Locally Finite and Finitely Generated
Journal of Al-Qadisiyah for Computer Science and Mathematics,
2011, Volume 3, Issue 1, Pages 1-8
AbstractLet G be a group and A be a ring . Let U be the units group in the group ring A[G]. Many recent studies in algebra deal with the structure of the group U knowing the structure of the group G and vice versa. In this paper we tried to prove the following problems :
1. What are the necessary and sufficient conditions on G so that U is locally finite?
2. What are the necessary and sufficient conditions on G so that U is finitely generated ?
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