Article
Licensed
Unlicensed
Requires Authentication
The normalizer property for integral group rings of finite solvable T-groups
-
Zhengxing Li
and
Jinke Hai
Published/Copyright:
March 6, 2012
Abstract.
A group is said to be a
T-group if all its subnormal subgroups are normal. Let 
be a
finite solvable T-group. It is shown that the normalizer property
holds for 
. As a direct consequence of our result, we obtain that
the normalizer property holds for finite groups all of whose Sylow
subgroups are cyclic.
Received: 2011-05-14
Revised: 2011-07-21
Published Online: 2012-03-06
Published in Print: 2012-March
© 2012 by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Masthead
- Lower signalizer lattices in alternating and symmetric groups
- Group rings in which the group of units is hyperbolic
- The normalizer property for integral group rings of finite solvable T-groups
- Finite -groups all of whose proper subgroups have cyclic Frattini subgroups
- A -group with positive rank gradient
- New criteria for equivalence of locally compact abelian groups
- Rough ends of infinite primitive permutation groups
- Automorphism groups of rooted trees have property (FA): A new proof
- About the metric approximation of Higman's group
Articles in the same Issue
- Masthead
- Lower signalizer lattices in alternating and symmetric groups
- Group rings in which the group of units is hyperbolic
- The normalizer property for integral group rings of finite solvable T-groups
- Finite -groups all of whose proper subgroups have cyclic Frattini subgroups
- A -group with positive rank gradient
- New criteria for equivalence of locally compact abelian groups
- Rough ends of infinite primitive permutation groups
- Automorphism groups of rooted trees have property (FA): A new proof
- About the metric approximation of Higman's group
