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2008•Journal of Sichuan Normal UniversityRequires access

The Normal Index of Maximal Subgroups and Solvability of Finite Groups

Tang Zai-liang

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Abstract

In this paper,maximal subgroups of a group G with several different properties are considered.By investigating the relationship between the normal indices and their indices in G of them,the solvability of the group G is characterized in several theorems.

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What this paper is about

In this paper,maximal subgroups of a group G with several different properties are considered.By investigating the relationship between the normal indices and their indices in G of them,the solvability of the group G is characterized in several theorems.

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Available abstract

In this paper,maximal subgroups of a group G with several different properties are considered.By investigating the relationship between the normal indices and their indices in G of them,the solvability of the group G is characterized in several theorems.

Key concepts: Mathematics, Normal subgroup, Index (typography), Group (periodic table), Pure mathematics, Finite group, Maximal subgroup, Combinatorics

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