𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Free Unit Groups in Group Algebras

✍ Scribed by J.Z Gonçalves; D.S Passman


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
235 KB
Volume
246
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Group Identities on Units of Group Algeb
✍ A. Giambruno; S.K. Sehgal; A. Valenti 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 178 KB

Let U be the group of units of the group algebra FG of a group G over a field F. Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a c

On Units of Twisted Group Algebras
✍ Chia-Hsin Liu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 110 KB

We study units of twisted group algebras. Let G be a finite group and K be a field of characteristic p > 0. Assume that K is not algebraic over a finite field. We determine when units of K t G do not contain any nonabelian free subgroup. We also discuss what will happen when G is locally finite. For

Free Group Algebras in Certain Division
✍ L.M.V. Figueiredo; J.Z. Gonçalves; M. Shirvani 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let D be a division ring with centre k. We show that D contains the k-group algebra of the free group on two generators when D is the ring of fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-finite, or it is the ring of fraction

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

Unit Groups of Semisimple Group Algebras
✍ Nako A. Nachev; Todor Zh. Mollov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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 Ž . Ž. of the unit group U KG of KG when i K is a field of the first kind with respect 1 Ž . to p and the first Ulm factor GrG is a direc

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