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math.CO2023
A definitely periodic chain in the integral Lie ring of partitions
Riccardo Aragona, Roberto Civino, Norberto Gavioli
Given an integer , we introduce the integral Lie ring of partitions with bounded maximal part, whose elements are in one-to-one correspondence to integer partitions with parts i…
math.RA2023
A modular idealizer chain and unrefinability of partitions with repeated parts
Riccardo Aragona, Roberto Civino, Norberto Gavioli
Recently Aragona et al. have introduced a chain of normalizers in a Sylow 2-subgroup of Sym(2^n), starting from an elementary abelian regular subgroup. They have shown that the ind…