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math.GR2024
Exceptional groups of order for primes
E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep
The minimal faithful permutation degree of a finite group is the least integer such that is isomorphic to a subgroup of the symmetric group . If has a n…
math.GR2024
Representations of skew braces
Nishant Rathee, Ayush Udeep
In this paper, we explore linear representations of skew left braces, which are known to provide bijective non-degenerate set-theoretical solutions to the Yang--Baxter equation tha…
math.RT2024
Various Representation Dimensions associated with a Finite Group
Anupam Singh, Ayush Udeep
To a finite group , one can associate several notions of dimensions (or degrees). In this survey, we attempt to bring together some of the notions of dimensions or degrees defin…