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math.RT2026
Generating Sets for the Kernels of Frobenius Polarization Operators
Naoya Yamaguchi
We study generating sets for the kernels of the Frobenius polarization operators associated with elements of finite groups. By applying the discrete Fourier transform on each coset…
math.RT2026
Group Permanents of Abelian -Groups and Young Diagrams
Naoya Yamaguchi, Yuka Yamaguchi
We study the number $\Nu(\Per(G_λ))$ of distinct monomials with nonzero coefficients in the group permanent of an abelian -group associated with a partition of a posit…