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math.GR2022
Minimal groups of given representation dimension
Jonathan Cohen
For a finite group , let denote the smallest dimension of a faithful, complex linear representation of . It is clear that …
math.GR2022
Finite Groups With Two Irredundant Covers
Jonathan Cohen, Kyle Rosengartner
An irredundant cover of a finite group is a collection of proper subgroups whose union is and which contains no smaller subcover. We classify finite groups which possess ex…