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- E. JESPERS, S. K. SEHGAL
- 1996

In this paper a finite set of generators is given for a subgroup of finite index in the group of central units of the integral group ring of a finitely generated nilpotent group. In this paper we construct explicitly a finite set of generators for a subgroup of finite index in the centre Z(U(ZG)) of the unit group U(ZG) of the integral group ring ZG of a… (More)

We give an explicit and character-free construction of a complete set of orthogonal primitive idempotents of a rational group algebra of a finite nilpotent group and a full description of the Wedderburn decomposition of such algebras. An immediate consequence is a well-known result of Roquette on the Schur indices of the simple components of group algebras… (More)

- V A Bovdi, E Jespers, A B Konovalov
- 2006

We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Janko group J 1. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

- Eric Jespers, Antonio Pita, Ángel del Ŕio, Manuel Ruiz, Pavel Zalesski
- 2006

We classify the finite groups G such that the group of units of the integral group ring ZG has a subgroup of finite index which is a direct product of free-by-free groups. The investigations on the unit group ZG * of the integral group ring ZG of a finite group G have a long history and go back to work of Higman [11]. One of the fundamental problems that… (More)

- O. Broche Cristo, Eric Jespers, Manuel Ruiz, O. Broche, E. Jespers, M. Ruiz
- 2008

Let R be a commutative ring, G a group and RG its group ring. Let ϕ σ : RG → RG denote the involution defined by ϕ σ (r g g) = r g σ(g)g −1 , where σ : G → {±1} is a group homo-morphism (called an orientation morphism). An element x in RG is said to be antisymmetric if ϕ σ (x) = −x. We give a full characterization of the groups G and its orientations for… (More)

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