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math.GR2017
Minimal embeddings of small finite groups
Robert Heffernan, Des MacHale, Brendan McCann
We determine the groups of minimal order in which all groups of order n can embedded for 1 < n < 16. We further determine the order of a minimal group in which all groups or order…
math.GR2009
Minimal odd order automorphism groups
Peter Hegarty, Desmond MacHale
We show that 3^7 is the smallest order of a non-trivial odd order group which occurs as the full automorphism group of a finite group.