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Symmetric group

About: Symmetric group is a research topic. Over the lifetime, 7945 publications have been published within this topic receiving 134099 citations.


Papers
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Journal ArticleDOI
TL;DR: The number of permutations with given cycle structure and descent set is shown to be equal to the scalar product of two special characters of the symmetric group.

353 citations

Book
04 Nov 2010
TL;DR: Theorem: Finitely Generated Amenable Groups + Local Embeddability and Sofic Groups + Uniform Structures + Complements of Functional Analysis + Ultrafilters = 6.
Abstract: Cellular Automata.- Residually Finite Groups.- Surjunctive Groups.- Amenable Groups.- The Garden of Eden Theorem.- Finitely Generated Amenable Groups.- Local Embeddability and Sofic Groups.- Linear Cellular Automata.- Nets and the Tychonoff Product Theorem.- Uniform Structures.- Symmetric Groups.- Free Groups.- Inductive Limits and Projective Limits of Groups.- The Banach-Alaoglu Theorem.- The Markov-Kakutani Fixed Point Theorem.- The Hall Harem Theorem.- Complements of Functional Analysis.- Ultrafilters.

344 citations

Journal ArticleDOI
TL;DR: Les caracteres de spin irreductible de S n and A n as discussed by the authors, and a decalee de la regle LR for the representation spin de base.

336 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202341
202295
2021265
2020346
2019284
2018284