A remark on the C|normality of maximal subgroups of finite groups

A remark on the C-normality of maximal subgroups of finite groups

€C//' is the maximal normal subgroup of G which is contained in. H. We use a result on primitive groups and the c-normality of maximal subgroups of a finite ...

A remark on the C-normality of maximal subgroups of finite groups

We use a result on primitive groups and the c-normality of maximal subgroups of a finite group G to obtain results about the influence of the set of maximal ...

A remark on the C-normality of maximal subgroups of finite groups

A remark on the C-normality of maximal subgroups of finite groups · Yanming Wang · Published in Proceedings of the Edinburgh… 1 June 1997 · Mathematics.

A Remark on the C-Normality of Maximal Subgroups of Finite Groups

A Remark on the C-Normality of Maximal Subgroups of Finite Groups by Yanming Wang published in Proceedings of the Edinburgh Mathematical Society.

On σ-c-subnormal subgroups of finite groups - DergiPark

Wang introduced the definition of c-normality, and proved that: a group G is soluble if and only if every maximal subgroup of G is c-normal in G. In the paper [ ...

A REMARK ON FINITE GROUPS1

Let G be a finite group, A an Abelian subgroup of G. If. A is a maximal subgroup of G then G is solvable. ... Then it is con- tained in a subgroup C^G, Ct^A.

The influence of c-normality of subgroups on the structure of finite ...

A subgroup H of a finite group G is said to be c-normal in G if there is a normal subgroup N of G such that HN=G and H∩N≤HG=coreG(H).

c-Sections of Maximal Subgroups of Finite Groups - ScienceDirect.com

Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L ≤ M and G = MK. We call the group M ∩ K/L.

The normal index of maximal subgroups in finite groups

If N is a normal subgroup of a group G and M is a maximal subgroup of G such that It was announced by Deskins in [5, 2.5] that a group G is solvable if and only ...

On c-normal subgroups of finite groups

We write M < ·G to indicate that. M is a maximal subgroup of G. Mathematics Subject Classification: 20D20. Key words and phrases: c-normal subgroups, ...

On the normal index and the c-section of maximal subgroups of a ...

Let M be a maximal subgroup of a finite group G . The order of a chief factor H/K such that H is a minimal supplement to M in G is called ...

The c∗ -Normal Subgroups of Finite Groups 1 Introduction - m-hikari

(e)If P is abelian, then the exponent of P is p. 3 c∗. -normality and supersolvability. Theorem 3.1 Let G be a finite group.If all maximal subgroup ...

Finite group with prime index maximal subgroups

On the contaray assume that NG(P)≠G, hence there exists a maximal subgroup M, where P≤NG(P)≤M

On the Normality of -Abnormal Maximal Subgroups of Finite Groups.

Title: On the Normality of -Abnormal Maximal Subgroups of Finite Groups. ; Language: English ; Authors: Sorokina, M. M.1 (AUTHOR) [email protected]. Maksakov, ...

On C-section and C-index of finite groups - ScienceDirect

Let G be a finite group and let M be a maximal subgroup of G. For each chief factor K/L of G such that L≤M and G=MK, we called the group M∩K/L a c-section ...

Some remarks on maximal subgroups of finite classical groups

The starting point for the description of the maximal subgroups of the finite classical groups is Aschbacher's theorem [2]. To state the theorem we let k be a ...

THE NORMAL INDEX OF A MAXIMAL SUBGROUP OF A FINITE ...

Remark. It might be tempting to conjecture that for a group G and ... Mukherjee, A note on normal index and maximal subgroups in finite groups, Illinois J.

Maximal subgroups of finite groups - Semantic Scholar

In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the ...

Finite Groups Whose n-Maximal Subgroups are Subnormal - JSTOR

If P is subnormal, then, being a Sylow subgroup, it is normal in G. Suppose P is not subnormal, and construct a chain P = Ho C H, (- c Hm = G as in ...

Finite groups in which every maximal subgroup is nilpotent or ... - arXiv

Let G be a finite group and p a fixed prime divisor of |G|. Combining the nilpotence, the normality and the order of groups together, we prove ...