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math.GR2020
Minimal partition-free groups
Afsane Bahri, Zeinab Akhlaghi, Behrooz Khosravi
Let G be a finite group. A collection P={H1, ..., Hr} of subgroups of G, where r > 1, is said a non-trivial partition of G if every non-identity element of G belongs to one and onl…
math.GR2020
Equivalent version of Huppert's conjecture on the codegrees
Afsane Bahri, Zeinab Akhlaghi, Behrooz Khosravi
Let G be a finite group, Irr(G) the set of all irreducible complex characters of G and X \in Irr(G). Let also cod(X) = |G : kerX|/X(1) and cod(G) = {cod(X) | X \in Irr(G)}. In this…