2004•Journal of Shaoyang UniversityRequires access

Some Sylow Subgroups And The Solvability Of Finite Group

Zhong Xiang-gui

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Abstract

For any finite group G, in this paper we try to use weakly condition some Sylow 2-subgroups and Sylow 3-subgroups of G to characterize the solvability of G, and obtain some sufficient conditions for solvable group G.Some known results in the relevant reference are improved.

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What this paper is about

For any finite group G, in this paper we try to use weakly condition some Sylow 2-subgroups and Sylow 3-subgroups of G to characterize the solvability of G, and obtain some sufficient conditions for solvable group G.Some known results in the relevant reference are improved.

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Available abstract

For any finite group G, in this paper we try to use weakly condition some Sylow 2-subgroups and Sylow 3-subgroups of G to characterize the solvability of G, and obtain some sufficient conditions for solvable group G.Some known results in the relevant reference are improved.

Key concepts: Sylow theorems, Locally finite group, Mathematics, Group (periodic table), Finite group, Pure mathematics, Physics, Abelian group

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