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.
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
@article{10_1017_S0017089502008960,
author = {KIRTLAND, JOSEPH},
title = {FINITE {GROUPS} {WITH} {A} {MINIMAL} {FRATTINI} {SUBGROUP} {PROPERTY}},
journal = {Glasgow mathematical journal},
pages = {41--44},
year = {2003},
volume = {45},
number = {1},
doi = {10.1017/S0017089502008960},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502008960/}
}
TY - JOUR AU - KIRTLAND, JOSEPH TI - FINITE GROUPS WITH A MINIMAL FRATTINI SUBGROUP PROPERTY JO - Glasgow mathematical journal PY - 2003 SP - 41 EP - 44 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089502008960/ DO - 10.1017/S0017089502008960 ID - 10_1017_S0017089502008960 ER -
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