Meanings
nounpermutizer (plural permutizers)
plural permutizers
- mathematicsA subgroup of all cyclic subgroups that permute with another
Given a finite group G, we introduce the \textit{permutability degree} of G, as Gwhere\mathcal{L}(G)isthesubgrouplatticeofGandP_G(X)thepermutizerofthesubgroupXinG,thatis,thesubgroupgeneratedbyallcyclicsubgroupsofGthatpermutewithX\in \mathcal{L}(G)$.
2015, Daniele Ettore Otera, Francesco G. Russo, “Permutability degrees of finite groups”, in arXiv
Origin
Cite this entry
APA
permutizer. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/permutizer
MLA
“permutizer.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/permutizer. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “permutizer,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/permutizer.
Source: permutizer on Wiktionary, CC BY-SA 4.0.