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Bass units as free factors in integral group rings of simple groups

✍ Scribed by Gonçalves, Jairo Z.; Guralnick, Robert M.; del Río, Ángel


Book ID
122279883
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
385 KB
Volume
404
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES


Products of Free Groups in the Unit Grou
✍ Eric Jespers; Guilherme Leal; Angel del Rı́o 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 253 KB

We classify the nilpotent finite groups G which are such that the unit group Ž . 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
✍ Guilherme Leal; Angel del Rı́o 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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