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Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring

✍ Scribed by Dooms, A.; Jespers, E.; Ruiz, M.

Book ID
127237593
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
139 KB
Volume
35
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES

Products of Free Groups in the Unit Grou
Products of Free Groups in the Unit Group of Integral Group Rings
✍ Eric Jespers; Guilherme Leal; Angel del RΔ±́o πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 253 KB

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

Products of Free Groups in the Unit Grou
Products of Free Groups in the Unit Group of Integral Group Rings II
✍ Guilherme Leal; Angel del Rı́o πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 221 KB

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