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Unsolvability of the endomorphic reducibility problem in free nilpotent groups and in free rings

✍ Scribed by V. A. Roman'kov

Publisher
Springer US
Year
1977
Tongue
English
Weight
552 KB
Volume
16
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES

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We classify the nilpotent finite groups G which are such that the unit group Ε½ . U U ZG of the integral group ring ZG has a subgroup of finite index which is the direct product of noncyclic free groups. It is also shown that nilpotent finite groups having this property can be characterised by means

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We classify all the finite groups G, such that the group of units of ZG contains a subgroup of finite index which is isomorphic to a direct product of nonabelian free Ž groups. This completes the work of Jespers, Leal, and del Rıo J. Algebra 180 Ž . . 1996 , 22᎐40 , where the nilpotent groups with