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

Showing math.RTShow all

5 papers · 1 filter

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.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…

math.RT2006★ 1 cited

Units of $p$ -power order in principal $p$ -blocks of $p$ -constrained groups

Martin Hertweck

Let $G$ be a finite group having a normal $p$ -subgroup $N$ that contains its centralizer $C_{G} (N)$ , and let $R$ be a $p$ -adic ring. It is shown that any finite $p$ -group of…

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​

Isomorphisms between centers of integral group rings

Units of p-power order in principal p-blocks of p-constrained groups

Zassenhaus conjecture for $A_{6}$

Units of $p$ -power order in principal $p$ -blocks of $p$ -constrained groups