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Groups of units of integral group rings commensurable with direct products of free-by-free groups

✍ Scribed by Eric Jespers; Antonio Pita; Ángel del Río; Manuel Ruiz; Pavel Zalesskii

Book ID
108051534
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
369 KB
Volume
212
Category
Article
ISSN
0001-8708

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📜 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 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
Products of Free Groups in the Unit Group of Integral Group Rings II
✍ 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