permutation group

noun

: a group whose elements are permutations and in which the product of two permutations is a permutation whose effect is the same as the successive application of the first two

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In October 2025, Ellenberg asked Wagner at DeepMind to use AlphaEvolve (which is not publicly available) to analyze the structures of the Bruhat intervals of dozens of permutation groups. Konstantin Kakaes, Quanta Magazine, 13 Apr. 2026

Word History

First Known Use

1893, in the meaning defined above

Time Traveler
The first known use of permutation group was in 1893

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Cite this Entry

“Permutation group.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/permutation%20group. Accessed 23 Apr. 2026.

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