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On the Finite Group with the Index of Maximal Subgroups of the Monster.
- Source :
-
Communications in Algebra . Aug2004, Vol. 32 Issue 8, p3263-3279. 17p. 9 Charts. - Publication Year :
- 2004
-
Abstract
- We study the problem concerning the influence of the index of maximal subgroup or the degree of primitive permutation representation of the finite simple groups on the structure of a group. Let G be a finite group and s be the index of maximal subgroup of the Monster M. In this paper, we prove that there exists an epimorphism from G to M or As if G has the primitive permutation representation of degree s, and as a consequence we prove that the Monster is determined by every s. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 32
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 14093630
- Full Text :
- https://doi.org/10.1081/AGB-120039291