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Pronunciation varies by accent · noun
(mathematics) A 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)$.
Use permutizer when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Permutizer means (mathematics) A subgroup of all cyclic subgroups that permute with another.
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Given a finite group G, we introduce the \textit{permutability degree} of G, as Gwhere\mathcal{L}(G)isthesubgrouplatticeofGandP_G(X)thepermutizerofthesubgroupXinG,thatis,thesubgroupgeneratedbyallcyclicsubgroupsofGthatpermutewithX\in \mathcal{L}(G)$.
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