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2004•Unpublished venueRequires access

Discussion on the Order of an Element in Group

Guo Su-xia

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Abstract

Group is an important concept in Modern Algebra.Viewed from a different angle it may be divided into two different categories:finite group and infinite group;and Abelian group and non-Abelian group.The order of an element is a significant concept in group.There are certain internal connections between the order of an element and the order of a group,the order of an element and the type of group,certain order of an element in groups too.

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What this paper is about

Group is an important concept in Modern Algebra.Viewed from a different angle it may be divided into two different categories:finite group and infinite group;and Abelian group and non-Abelian group.The order of an element is a significant concept in group.There are certain internal connections between the order of an element and the order of a group,the order of an element and the type of group,certain order of an element in groups too.

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Available abstract

Group is an important concept in Modern Algebra.Viewed from a different angle it may be divided into two different categories:finite group and infinite group;and Abelian group and non-Abelian group.The order of an element is a significant concept in group.There are certain internal connections between the order of an element and the order of a group,the order of an element and the type of group,certain order of an element in groups too.

Key concepts: Group (periodic table), Element (criminal law), Order (exchange), Mathematics, Abelian group, Non-abelian group, Algebra over a field, Pure mathematics

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