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math.GR2023★ 1 cited
Minimal degrees for faithful permutation representations of groups of order where is an odd prime
E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep
We determine the minimal degree of a faithful permutation representation for each group of order where is an odd prime. We also record how to obtain such a representation…
math.GR2023
Isomorphism invariant metrics
P. A. Brooksbank, J. F. Maglione, E. A. O'Brien +1
Within a category , having objects , it may be instructive to know not only that two objects are non-isomorphic, but also how far from being isomorphic th…
math.GR2023
Presentations for the groups of order for prime
M. F. Newman, E. A. O'Brien, M. R. Vaughan-Lee
We list those presentations for the groups of order for prime which are distributed as part of the {\sc SmallGroups} library.