On the Deskins index complex of a maximal subgroup of a finite group

Ballester-Bolinches, A.; Ezquerro, Luis M.

doi:10.1090/S0002-9939-1992-1088437-7

On the Deskins index complex of a maximal subgroup of a finite group
HTML articles powered by AMS MathViewer

by A. Ballester-Bolinches and Luis M. Ezquerro

Proc. Amer. Math. Soc. 114 (1992), 325-330

DOI: https://doi.org/10.1090/S0002-9939-1992-1088437-7

PDF | Request permission

Correction: Proc. Amer. Math. Soc. 123 (1995), 1631-1633.

Abstract:

We analyze the influence of the maximal subgroups in the structure of a finite group $G$ by means of the index complex introduced by Deskins in Proc. Sympos. Pure Math. vol. 1, Amer. Math. Soc. 1959, pp. 100-104.

References

A. Ballester-Bolinches, Maximal subgroups and formations, J. Pure Appl. Algebra 61 (1989), no. 3, 223–232. MR 1027741, DOI 10.1016/0022-4049(89)90072-8
A. Ballester-Bolinches, On the intersection of families of maximal subgroups of a finite group, J. Pure Appl. Algebra 67 (1990), no. 2, 101–109. MR 1080879, DOI 10.1016/0022-4049(90)90008-6
Bernd Baumann, Endliche nichtauflösbare Gruppen mit einer nilpotenten maximalen Untergruppe, J. Algebra 38 (1976), no. 1, 119–135. MR 409639, DOI 10.1016/0021-8693(76)90249-0
W. E. Deskins, On maximal subgroups, Proc. Sympos. Pure Math., Vol. 1, American Mathematical Society, Providence, R.I., 1959, pp. 100–104. MR 0125157
W. E. Deskins, A note on the index complex of a maximal subgroup, Arch. Math. (Basel) 54 (1990), no. 3, 236–240. MR 1037611, DOI 10.1007/BF01188517
Daniel Gorenstein, Finite groups, Harper & Row, Publishers, New York-London, 1968. MR 0231903
B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
Julio Lafuente, Eine Note über nichtabelsche Hauptfaktoren und maximale Untergruppen einer endlichen Gruppe, Comm. Algebra 13 (1985), no. 9, 2025–2036 (German). MR 795489, DOI 10.1080/00927878508823263
John S. Rose, The influence on a finite group of its proper abnormal structure, J. London Math. Soc. 40 (1965), 348–361. MR 174638, DOI 10.1112/jlms/s1-40.1.348