AN ALGORITHM FOR FINDING MINIMAL GENERATING SETS OF FINITE GROUPS

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Udomworarat Tanakorn; Suksumran Teerapong

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Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2021 | Volume:8 | Issue:2 Page(s): 131-143

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Title

AN ALGORITHM FOR FINDING MINIMAL GENERATING SETS OF FINITE GROUPS

Author(s)

Udomworarat Tanakorn | Suksumran Teerapong | Issue Writer Certificate

Keywords

Cayley graph

Connected graph

Coset

Generating set

Graph component

Abstract

In this article, we study connections between components of the Cayley graph Cay(G, A), where A is an arbitrary subset of a group G, and Cosets of the subgroup of G generated by A. In particular, we show how to construct Generating sets of G if Cay(G, A) has finitely many components. Furthermore, we provide an algorithm for finitely minimal Generating sets of finite groups using their Cayley graphs.

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APA: Copy

Udomworarat, Tanakorn, & Suksumran, Teerapong. (2021). AN ALGORITHM FOR FINDING MINIMAL GENERATING SETS OF FINITE GROUPS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 8(2), 131-143. SID. https://sid.ir/paper/1059319/en

Vancouver: Copy

Udomworarat Tanakorn, Suksumran Teerapong. AN ALGORITHM FOR FINDING MINIMAL GENERATING SETS OF FINITE GROUPS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2021;8(2):131-143. Available from: https://sid.ir/paper/1059319/en

IEEE: Copy

Tanakorn Udomworarat, and Teerapong Suksumran, “AN ALGORITHM FOR FINDING MINIMAL GENERATING SETS OF FINITE GROUPS,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 8, no. 2, pp. 131–143, 2021, [Online]. Available: https://sid.ir/paper/1059319/en

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