permutizer

English

Etymology

permute +‎ -izer

Noun

permutizer (plural permutizers)

1. (mathematics) A subgroup of all cyclic subgroups that permute with another
   • 2015, Daniele Ettore Otera, Francesco G. Russo, “Permutability degrees of finite groups”, in arXiv‎^[1]:

     Given a finite group $G$, we introduce the \textit{permutability degree} of $G$, as $G$$where$\mathcal{L}(G)$isthesubgrouplatticeof$G$and$P_G(X)$the'''permutizer'''ofthesubgroup$X$in$G$,thatis,thesubgroupgeneratedbyallcyclicsubgroupsof$G$thatpermutewith$X\in \mathcal{L}(G)$.