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The Simple Group within 100 Order

Min Cheng

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Abstract

The finite groups are only groups of limited elements,but its content is very rich.The difference between finite group and boundless group lies in that its order is a positive integer.The finite simple group getsbasic componenteffect in the theory of finite groups.This paper uses the elementary group theory method and Sylow theorem,mainly studies the simple group and non-simple group within 100 order.

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What this paper is about

The finite groups are only groups of limited elements,but its content is very rich.The difference between finite group and boundless group lies in that its order is a positive integer.The finite simple group getsbasic componenteffect in the theory of finite groups.This paper uses the elementary group theory method and Sylow theorem,mainly studies the simple group and non-simple group within 100 order.

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Available abstract

The finite groups are only groups of limited elements,but its content is very rich.The difference between finite group and boundless group lies in that its order is a positive integer.The finite simple group getsbasic componenteffect in the theory of finite groups.This paper uses the elementary group theory method and Sylow theorem,mainly studies the simple group and non-simple group within 100 order.

Key concepts: Sylow theorems, Simple group, Simple (philosophy), Classification of finite simple groups, Group (periodic table), Mathematics, Order (exchange), Finite group

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