Intersecting maximals

A. L. Gilotti; U. Tiberio

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 3, page 735-746
  • ISSN: 0392-4041

Abstract

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Given a class X of finite groups and a finite group G , the authors study the subgroup X ⁢ G intersection of maximal subgroups that do not belong to X .

How to cite

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Gilotti, A. L., and Tiberio, U.. "Intersecting maximals." Bollettino dell'Unione Matematica Italiana 5-B.3 (2002): 735-746. <http://eudml.org/doc/196205>.

@article{Gilotti2002,
abstract = {Given a class $\mathcal\{X\}$ of finite groups and a finite group $G$ , the authors study the subgroup $\mathcal\{X\}(G)$ intersection of maximal subgroups that do not belong to $\mathcal\{X\}$.},
author = {Gilotti, A. L., Tiberio, U.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {generalized Frattini subgroups; intersections of maximal subgroups; finite soluble groups; finite nilpotent groups; formations},
language = {eng},
month = {10},
number = {3},
pages = {735-746},
publisher = {Unione Matematica Italiana},
title = {Intersecting maximals},
url = {http://eudml.org/doc/196205},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Gilotti, A. L.
AU - Tiberio, U.
TI - Intersecting maximals
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/10//
PB - Unione Matematica Italiana
VL - 5-B
IS - 3
SP - 735
EP - 746
AB - Given a class $\mathcal{X}$ of finite groups and a finite group $G$ , the authors study the subgroup $\mathcal{X}(G)$ intersection of maximal subgroups that do not belong to $\mathcal{X}$.
LA - eng
KW - generalized Frattini subgroups; intersections of maximal subgroups; finite soluble groups; finite nilpotent groups; formations
UR - http://eudml.org/doc/196205
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.- 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. GILOTTI, A. L.- TIBERIO, U., On the intersection of maximal non-supersoluble subgroups in a finite group, Boll. U.M.I (8) 3-B (2000), 691-695. Zbl0980.20013MR1801610
  4. TIBERIO, U., Sui sottogruppi massimali di un gruppo finito risolubile, Le Matematiche vol. XXXII, fasc. II, 258-270 (1977). 
  5. ASAAD, M.- RAMADAN, M., On the intersection of maximal subgroups of a finite group, Arch. Math., 71 (1998), 89-94. Zbl0787.20013MR1631535
  6. DOERK, K.- HAWKES, T., Finite Soluble Groups, Berlin-New York, 1992. Zbl0753.20001MR1169099
  7. SUZUKI, M., Group Theory I, Berlin-New York, 1982. Zbl0472.20001MR648772
  8. SUZUKI, M., Group Theory II, Berlin-New York, 1986. Zbl0586.20001MR815926
  9. CONWAY, J. H.- CURTIS, R. T.- NORTON, S. P.- PARKER, R. A.- WILSON, R. A., Atlas of Finite Groups, Oxford, 1985. Zbl0568.20001MR827219
  10. ROBINSON, D. J. S., A Course in the Theory of Groups, Berlin-Heidelberg-New York, 1991. Zbl0483.20001
  11. HUPPERT, B., Endliche Gruppen I, Berlin-Heidelberg-New York, 1967. Zbl0217.07201MR224703
  12. GORENSTEIN, D., Finite Groups, New-York, 1968. Zbl0185.05701MR231903
  13. BAER, R., Topics in finite Groups, minimal classes, Università di Firenze, Dipartimento di Matematica U. Dini, n. 6 (1974/75). 

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