Nasim Karimi
Published 2015-06-08Version 1
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.
Diameter of a direct power of alternating groups
How long does it take to generate a group?
On $Π$-supplemented subgroups of a finite group
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