FINITE GROUPS WITH A MINIMAL FRATTINI SUBGROUP PROPERTY
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 41-44

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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.
DOI : 10.1017/S0017089502008960
Mots-clés : Primary 20D25, Secondary 20E34
KIRTLAND, JOSEPH. FINITE GROUPS WITH A MINIMAL FRATTINI SUBGROUP PROPERTY. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 41-44. doi: 10.1017/S0017089502008960
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