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arXiv · 1506.02695

Diameter of a direct power of a finite group

Nasim Karimi
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Abstract

We present two conjectures concerning the diameter of a direct power of a finite group. The first conjecture states that the diameter of G^n with respect to any generating set is at most n(|G|-rank(G)); and the second one states that there exists a generating set A, of minimum size, for G^n such that the diameter of G^n with respect to A is at most n(|G|-rank(G)). We will establish evidence for each of the above mentioned conjectures.

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Nasim Karimi. 2015-06-08. Diameter of a direct power of a finite group. https://arxiv.org/abs/1506.02695

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