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FINITE GROUPS WITH A MINIMAL FRATTINI SUBGROUP PROPERTY

Published online by Cambridge University Press:  01 May 2003

JOSEPH KIRTLAND
JOSEPH KIRTLAND
Affiliation:
Department of Mathematics, Marist College, Poughkeepsie, NY 12601 e-mail: [email protected]
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Abstract

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Finite groups in which the Frattini subgroup of each proper normal subgroup is trivial, while the group itself has a nontrivial Frattini subgroup, are investigated. A direct result of this study leads to a classification of finite groups in which the Frattini subgroup of each proper subgroup is trivial, while the group itself has a nontrivial Frattini subgroup.

Keywords

Primary 20D25Secondary 20E34
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 1 , January 2003 , pp. 41 - 44
Copyright
2003 Glasgow Mathematical Journal Trust