Wikipedia:Today's featured article/requests/Affine symmetric group

Affine symmetric group

 * This is the archived discussion of the TFAR nomination for the article below. Subsequent comments should be made on the appropriate discussion page (such as Wikipedia talk:Today's featured article/requests). Please do not modify this page.

The result was: scheduled for Today's featured article/October 8, 2023 by - Dank (push to talk) 23:23, 5 September 2023 (UTC)



The affine symmetric groups are a family of mathematical structures that describe the symmetries of the number line and the regular triangular tiling of the plane, as well as related higher-dimensional objects. They may also be defined as collections of permutations (rearrangements) of the integers that are periodic in a certain sense, or in purely algebraic terms as a group with certain generators and relations. They are studied as part of the fields of combinatorics and representation theory. Each affine symmetric group is an infinite extension of a finite symmetric group, and many important combinatorial properties of the finite symmetric groups can be extended to the corresponding affine symmetric groups. The affine symmetric groups have close relationships with other mathematical objects, including juggling patterns and certain complex reflection groups. Many of their combinatorial and geometric properties extend to the broader family of affine Coxeter groups.
 * Most recent similar article(s): Could possibly be the first TFA on advanced mathematics (?)
 * Main editors:
 * Promoted: August 22, 2023
 * Reasons for nomination: A rare FA article on an advanced maths topics. I don't recall seeing advanced mathematics being featured on the main page, one of the main reason being the scarcity of high quality articles on such non-trivial topics.
 * Support as nominator. Iry-Hor (talk) 13:45, 25 August 2023 (UTC)
 * Comment there have probably been several articles on advanced mathematics on TFA before, but I'll support if JayBeeEll does. – John M Wolfson (talk • contribs) 14:23, 26 August 2023 (UTC)
 * Support, and thanks Iry-Hor for rearranging the intro into a blurb. As far as I can tell, the only current featured article on mathematics beyond the secondary school level is Group (mathematics), which was TFA on pi day 2022.  --JBL (talk) 21:17, 26 August 2023 (UTC)
 * Support. Gog the Mild (talk) 19:41, 27 August 2023 (UTC)
 * Tweaks to the blurb: added a couple of things from the lead (the blurb was too short). Restored links from the lead, and added some links. Thoughts are welcome. - Dank (push to talk) 15:42, 28 August 2023 (UTC) Also fixed a couple of links per WP:MPNOREDIRECT. - Dank (push to talk) 15:44, 28 August 2023 (UTC)
 * I am happy with either version. --JBL (talk) 00:35, 31 August 2023 (UTC)