Word.ws English Dictionary

permutizer

permutizer noun: a subgroup of all cyclic subgroups that permute with another.

Noun

permutizer (plural permutizers)

  1. 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)$.2015, Daniele Ettore Otera, Francesco G. Russo, “Permutability degrees of finite groups”, in arXiv

Forms of permutizer

pluralpermutizers

Origin of permutizer

From permute + -izer.

Questions about permutizer

What does permutizer mean?
Permutizer means a subgroup of all cyclic subgroups that permute with another.
What part of speech is permutizer?
Permutizer is a noun.
What is the plural of permutizer?
The plural of permutizer is permutizers.

Words near permutizer in the dictionary

  1. permuters
  2. permutes
  3. permuting
  4. permutite
  5. permutites
  6. permutizer
  7. permutizers
  8. permutohedra
  9. permutohedral
  10. permutohedron
  11. permuton

Source and license

Adapted from Wiktionary: permutizer (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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