Units of integral group rings of finite groups with a direct multiplier of order 3
Authors
Sergey Andreevich Kolyasnikov
South Ural State University
Keywords:
Abelian group, group ring, unit group of group ring
Abstract
The description of units of integral group rings of finite groups of type A×Z3was obtained, where A contains a central subgroup of order 3. For example, the unit groups of integral group rings of Abelian groups of the types (9,3), (9,3,3) and (15,3) were found.
Author Biography
Sergey Andreevich Kolyasnikov, South Ural State University
