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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