𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Free groups and involutions in the unit group of a group algebra

✍ Scribed by A. Giambruno; C. Polcino Milies

Publisher
Springer
Year
2005
Tongue
English
Weight
86 KB
Volume
84
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Free Unit Groups in Group Algebras
Free Unit Groups in Group Algebras
✍ J.Z GonΓ§alves; D.S Passman πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 235 KB
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

Unit Groups of Semisimple Group Algebras
Unit Groups of Semisimple Group Algebras of Abelianp-Groups over a Field
✍ Nako A. Nachev; Todor Zh. Mollov πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 134 KB

Let G be an abelian p-group, let K be a field of characteristic different from p, and let KG be the group algebra of G over K. In this paper we give a description Ε½ . Ε½. of the unit group U KG of KG when i K is a field of the first kind with respect 1 Ε½ . to p and the first Ulm factor GrG is a direc

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