On the intersection of maximal non-supersoluble subgroups in a finite group

A. L. Gilotti; U. Tiberio

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 3, page 691-698
  • ISSN: 0392-4041

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Gilotti, A. L., and Tiberio, U.. "On the intersection of maximal non-supersoluble subgroups in a finite group." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 691-698. <http://eudml.org/doc/194710>.

@article{Gilotti2000,
author = {Gilotti, A. L., Tiberio, U.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {intersections of maximal subgroups; finite soluble groups; maximal subgroups; chief factors; normal Sylow subgroups; Frattini subgroups; conjugacy classes; supersoluble residuals},
language = {eng},
month = {10},
number = {3},
pages = {691-698},
publisher = {Unione Matematica Italiana},
title = {On the intersection of maximal non-supersoluble subgroups in a finite group},
url = {http://eudml.org/doc/194710},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Gilotti, A. L.
AU - Tiberio, U.
TI - On the intersection of maximal non-supersoluble subgroups in a finite group
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 691
EP - 698
LA - eng
KW - intersections of maximal subgroups; finite soluble groups; maximal subgroups; chief factors; normal Sylow subgroups; Frattini subgroups; conjugacy classes; supersoluble residuals
UR - http://eudml.org/doc/194710
ER -

References

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  1. SHIDOV, L. I., On maximal subgroups of finite groups, Sibirsk. Mat. Zh.12, n. 3 (1971), 682-683. Zbl0219.20018MR284501
  2. GILOTTI, A. L. and TIBERIO, U., On the intersection of a certain class of maximal subgroups of a finite group, Arch. Math., 71 (1998), 89-94. Zbl0915.20010MR1631535
  3. CONWAY, J. H., CURTIS, R. T., NORTON, S. P., PARKER, R. A. and WILSON, R. A., Atlas of Finite Groups, Oxford1985. Zbl0568.20001MR827219
  4. ROBINSON, D. J. S., A Course in the Theory of Groups, Berlin-Heidelberg-New York (1991). Zbl0483.20001
  5. HUPPERT, B., Endliche Gruppen I, Berlin-Heidelberg-New York (1967). Zbl0217.07201MR224703
  6. DOERK, K. and HAWKES, T., Finite Soluble Groups, Berlin-New York (1992). Zbl0753.20001MR1169099
  7. DOERK, K., Minimal nicht uberauflösbare, endliche Gruppen, Math. Zeitschr., 91 (1966), 198-205. Zbl0135.05401MR191962

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