Martin Hertweck

activity

20062008

most citedFinite groups of units and their composition factors in the integral group rings of the groups

PSL (2, q)

8 citations · 18 across the 6 of their papers we have counts for

collaborators

8 papers

math.GR2008★ 8 cited

Finite groups of units and their composition factors in the integral group rings of the groups $PSL (2, q)$

Martin Hertweck, Christian R. Höfert, Wolfgang Kimmerle

Let $G$ denote the projective special linear group $PSL (2, q)$ , for a prime power $q$ . It is shown that a finite 2-subgroup of the group $V (Z G)$ of augmentation 1 un…

math.RT2007★ 1 cited

Unit groups of integral finite group rings with no noncyclic abelian finite subgroups

Martin Hertweck

It is shown that in the units of augmentation one of an integral group ring $Z G$ of a finite group $G$ , a noncyclic subgroup of order $p^{2}$ , for some odd prime $p$ , exi…

math.RT2007★ 1 cited

The orders of torsion units in integral group rings of finite solvable groups

Martin Hertweck

It is shown that for any torsion unit of augmentation one in the integral group ring $Z G$ of a finite solvable group $G$ , there is an element of $G$ of the same order.

math.RT2007★ 7 cited

Zassenhaus conjecture for $A_{6}$

Martin Hertweck

For the alternating group $A_{6}$ of degree 6, Zassenhaus' conjecture about rational conjugacy of torsion units in integral group rings is confirmed.

math.GR2007

Class-preserving automorphisms and the normalizer property for Blackburn groups

Martin Hertweck, Eric Jespers

For a group $G$ , let $U$ be the group of units of the integral group ring $Z G$ . The group $G$ is said to have the normalizer property if $N_{U} (G) = Z (U) G$ . It i…

math.RT2006

Isomorphisms between centers of integral group rings

Martin Hertweck

For finite nilpotent groups $G$ and $G^{'}$ , and a $G$ -adapted ring $S$ (the rational integers, for example), it is shown that any isomorphism between the centers of the group…

Finite groups of units and their composition factors in the integral group rings of the groups PSL(2,q)

Unit groups of integral finite group rings with no noncyclic abelian finite subgroups

The orders of torsion units in integral group rings of finite solvable groups

Zassenhaus conjecture for A6​

Class-preserving automorphisms and the normalizer property for Blackburn groups

Isomorphisms between centers of integral group rings

Finite groups of units and their composition factors in the integral group rings of the groups $PSL (2, q)$

Zassenhaus conjecture for $A_{6}$