最終更新日：2024/08/04

Dictionary quizzes to help you remember vocabulary

Dictionary quizzes to help you remember vocabulary

(mathematics) A subgroup of all cyclic subgroups that permute with another

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permutizer

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permutizer

noun

(mathematics) A subgroup of all cyclic subgroups that permute with another

The permutizer is a powerful tool for generating all possible permutations of a given set of elements.

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意味（1）

(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)$.

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