The ranks of the classes of the Chevalley group G2(4)

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Document Type : Research Paper

Authors

1 School of Mathematical and Computer Sciences, University of Limpopo (Turfloop) P Bag X1106, Sovenga 0727, South Africa.

2 School of Mathematical and Statistical Sciences, PAA Focus Area, North-West University (Mahikeng) P. Bag X2046, Mmabatho 2735, South Africa.

Abstract

Let G be a finite simple group and X be a non-trivial conjugacy class of G. The {rank} of X in G, denoted by rank(G:X), is defined to be the minimal number of elements of X generating G. In this paper we establish the ranks of all the conjugacy classes of elements for Chevalley group G2(4) using the structure constants method. The Groups, Algorithms and Programming, GAP [14] is used frequently in our computations.

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References

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Algebraic Structures and Their Applications

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