permutizer

English

Etymology

From 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:

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