On Counting Double Centralizers of Symmetric Groups

نویسندگان

چکیده

Let $S_{2m}$ be the symmetric group, $h=(1\ 2)(3\ 4)\cdots(2m-1\ 2m)$ and $H=C(h)$. We consider structure of $gHg^{-1}\cap H$ for any $g\in S_{2m}$. prove permutations $g$ which makes have size polynomial in $m$ density zero.

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ژورنال

عنوان ژورنال: Electronic Journal of Combinatorics

سال: 2023

ISSN: ['1077-8926', '1097-1440']

DOI: https://doi.org/10.37236/11158