Zassenhaus conjecture for <Emphasis Type="Italic">A </Emphasis> <Subscript>5 </Subscript>
Page 1 Proc. Indian Acad. Sci. (Math. Sci.), Vol. 99, No. 1, April 1989, pp. 1-5. 9 Printed in …

Torsion Units in integral Group Rings of Some Metabelian Groups, II Page 1 JOURNAL OF
NUMBER THEORY 25, 34Cb352 ( 1987) Torsion Units in integral Group Rings of Some …

It is shown that any torsion unit of the integral group ring ℤG of a finite group G is rationally
conjugate to a trivial unit if G= P⋊ A with P a normal Sylow p-subgroup of G and A an …

Hans J. Zassenhaus conjectured that for any unit u of finite order in the integral group ring of
a finite group G there exists a unit a in the rational group algebra of G such that a− 1⋅ u⋅ …

Zassenhaus Conjecture for torsion units states that every augmentation 1 torsion unit of the
integral group ring of a finite group G is conjugate to an element of G in the units of the …

In the 1940's Graham Higman initiated the study of finite subgroups of the unit group of an
integral group ring. Since then many fascinating aspects of this structure have been …

A p-subgroup version of the conjecture of Zassenhaus is proved for some finite solvable
groups including solvable groups in which any Sylow p-subgroup is either abelian or …

Let $ G=\left\langle a\right\rangle\rtimes X $ where $\left\langle a\right\rangle $ is a cyclic
group of order $ n, X $ is an abelian group of order $ m $, and $(n, m)= 1$. We prove that if …

ON A CONJECTURE OF ZASSENHAUS ON TORSION UNITS IN INTEGRAL GROUP RINGS. II1
Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 97, Number …

On torsion units of integral group rings of groups of small order Page 262 On torsion units of
integral group rings of groups of small order Christian Höfert and Wolfgang Kimmerle IGT …