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Publicly Available Published by De Gruyter March 26, 2014

Finite groups with subnormal non-cyclic subgroups

  • Victor Monakhov EMAIL logo and Alexander Trofimuk
From the journal Journal of Group Theory

Abstract

In this paper we consider finite groups G such that every non-cyclic maximal subgroup in its Sylow subgroups is subnormal in G. In particular, we prove that such solvable groups have an ordered Sylow tower.

The authors wish to thank the referee for his suggestions.

Received: 2013-4-3
Revised: 2013-6-2
Published Online: 2014-3-26
Published in Print: 2014-9-1

© 2014 by De Gruyter

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