Permutizer
Definition, Meaning & Examples
Part of speech noun
Quick meaning: Permutizer is a noun meaning (mathematics) A subgroup of all cyclic subgroups that permute with another.
Meaning
(mathematics) A subgroup of all cyclic subgroups that permute with another.
Example Sentences
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)$.
Word Forms
- permutizers
Related Words
Related dictionary entries include intermutant, multipermutation, permutation, commutant, subpermutation, permutahedron.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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