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

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

On the normal index and the c-section of maximal subgroups of a finite group. Xinjian Zhang and Xianhua Li. (Communicated by A. Yu. Olshanskii). Abstract. Let ...

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 ...

A Note on the Normal Index and the c‐Section of Maximal ...

Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that K ≤ M and G = MH, we called the order of H/K the ...

(PDF) On the normal index and the c -section of maximal subgroups ...

PDF | Let be a maximal subgroup of finite group . For each chief factor of such that and , we called the order of the normal index of and a section of.

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

Abstract 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 normal ...

A Note on the Normal Index and the c-Section of Maximal ...

Let M M be a maximal subgroup of finite group G G . For each chief factor H/K H / K of G G such that K≤M K ≤ M and G=MH G = M H , we called the order of H/K ...

Research Article A Note on the Normal Index and the c-Section of ...

Let 𝑀 be a maximal subgroup of finite group 𝐺. For each chief factor 𝐻/𝐾 of 𝐺 such that 𝐾≤𝑀 and 𝐺 = 𝑀𝐻, we called the order.

A Note on the Normal Index and the c -Section of Maximal ...

Downloadable! Let be a maximal subgroup of finite group . For each chief factor of such that and , we called the order of the normal index of and a section ...

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

In [8] Wang defined the concept of c-normal subgroups. A subgroup H of a group G is called c-normal in G if there is a normal subgroup K of G such that G=HK and ...

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

We obtain several results on the normal index of maximal subgroups M of composite index in G with [G : M]p = 1 which imply G to be solvable, supersolvable. 1.

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 ...

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

Key Words: c-section; maximal subgroup; solvable groups. 1. INTRODUCTION AND ... group, which is related to c-normality and the normal index. Using this.

On the Normal Index of Maximal Subgroups in Finite Groups ...

J. Appl. Math. 2014. TLDR. Using the concepts of normal index and c-section, some ...

Index of maximal normal subgroup is prime - Math Stack Exchange

Index of maximal normal subgroup is prime · 1 · You can introduce the correspondence theorem for yourself, not only for a specific problem. · If M ...

(Open Access) On the normal index of maximal subgroups in finite ...

TL;DR: In this paper, the normal index and c-section of a maximal subgroup of a finite group G is defined, such that the order of a chief factor H/K such that H ...

on the normal index of maximal subgroups in finite groups ... - CORE

In this section, we collect some well-known results (whose proofs we omit) that are needed in the sequel. * This research was supported by DGICYT-proyecto. No.

On the Deskins Index Complex of a Maximal Subgroup of a ... - jstor

... C is a normal (respectively, subnormal) subgroup of G and C E I(M). If C and D are normal completions of a maximal subgroup M of a group. G, then C/k(C) - D ...

If one subgroup of index $k$ is maximal normal in a join, are all ...

Relaxing the maximal condition, if one subgroup of index k is normal in a join, are all subgroups of index k normal in this join? Relaxing both ...

On the index complex of a maximal subgroup and the group ...

Furthermore, by k(C) we denote the product of all normal subgroups of G which are also proper subgroups of C, k(C) is a proper normal subgroup of C. In [2], ...

Finite groups with few conjugacy classes of maximal subgroups

A nontrivial solvable group always has a maximal subgroup which is normal and of prime index, so either M or L is normal in G. If only one of ...