Talk:Tits group

the other Tits Group

There is another important and common use of the terminology `Tits Group': the group generated by certain nice representatives in an affine algebraic group of the finite Weyl group. Until there is an article on this, there should be a disambiguation page, or at least a comment at the top of this page. srostami (talk) 21:43, 26 April 2015 (UTC)[reply]

Outer automorphism

This edit changed the proposed outer automorphism from (a,b) ↦ (a,bb) to a much more complicated expression. I just checked that (a,b) ↦ (a,bb) is an inner automorphism, so was wrong. However, the proposed automorphism is explicitly written as an inner automorphism, so is also wrong. Recently an IP misunderstood conjugation as multiplication, but (a,b) ↦ (a,babab^2abababab^2) does not define an automorphism of the group, so is also wrong. An outer automorphism is given by (a,b) ↦ (a,bbabababababbababababa), found by a simple search using the GAP computer algebra system. JackSchmidt (talk) 17:42, 12 August 2009 (UTC)[reply]

This outer automorphism can be more simply written as (a,b) ↦ (a,(ab)^5b). (This is in the same class; the long string is trivially equal to (b(ba)^5))^{-1}, and preceding this by inverting b gives what I said.) 130.132.173.110 (talk) 20:32, 2 June 2017 (UTC)[reply]

Censorship

Why is the name “Tits group” censored at [1]? --84.62.192.52 (talk) 09:09, 20 June 2010 (UTC)[reply]

That's really funny, and I hope you are not trolling! Webcrawlers tend to think that the page is pornographic in nature as it has "Tits" in its title (which is pretty obvious). Dyaa (talk) —Preceding undated comment added 14:59, 21 December 2010 (UTC).[reply]

This might be a good April Fool's Day "Did You Know?" entry, eg "Did you know... that researchers discovered a way of rigorously characterising tits in 1972?" — Preceding unsigned comment added by 86.26.13.2 (talk) 00:22, 17 November 2012 (UTC)[reply]

Semi-protected edit request on 23 October 2017

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In § presentation, expand "where [a, b] is the commutator." to "where [a, b] is the commutator a⁻¹b⁻¹ab."

I could also render "sending (a, b) to (a, bbabababababbababababa)." more legible by converting it to "sending (a, b) to (a, b(ba)⁵b(ba)⁵)." but that's less important. 104.153.72.218 (talk) 18:27, 23 October 2017 (UTC)[reply]

Done SparklingPessimist ^{Scream at me!} 19:06, 23 October 2017 (UTC)[reply]

That makes the same amount of sense as the naming for the tits group LeonWiki2763 (talk) 00:46, 15 November 2023 (UTC)[reply]