6533b853fe1ef96bd12acd2d
RESEARCH PRODUCT
On the normal index of maximal subgroups in finite groups
Adolfo Ballester-bolinchessubject
CombinatoricsNormal subgroupMaximal subgroupFinite groupNormal p-complementMathematics::Group TheoryAlgebra and Number TheoryOrder (group theory)CosetCharacteristic subgroupIndex of a subgroupMathematicsdescription
AbstractFor a maximal subgroup M of a finite group G, the normal index of M is the order of a chief factor H/K where H is minimal in the set of normal supplements of M in G. We use the primitive permutation representations of a finite group G and the normal index of its maximal subgroups to obtain results about the influence of the set of maximal subgroups in the structure of G.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-06-01 |