Talk:Heap (mathematics)

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[edit] Groud is not only a heap

Groud is also an african artist see Gilbert G. Groud so "Groud" not point directly to the mathematical heap but to a page who differs the two. How do i do this? Ourima 10:16, 17 March 2007 (UTC)ourima

  • Done Hawthorn 12:20, 17 March 2007 (UTC)
    • Thanks, but how do i do it? we have the same problem in the french wikipedia
  • This is what I did.

1. Search for the redirect page you want to change. In this case groud.
2. As the groud page is redirected to heap (mathematics), that is the page that will come up in the search. However as it was accessed via redirect from groud then the page also has a message at the top redirected from groud and a link.
3. Click on the link! That takes you back to the groud page itself, a page that contains nothing except a redirect statement pointing to heap (mathematics).
4. Edit the page in the usual way. Remove the redirect statement and replace it with a normal page of whatever type you feel like, in this case a disambiguation page.

Good luck Hawthorn 14:21, 18 March 2007 (UTC)

[edit] Suggestion: for the group operation: add "x^-1 := [e,x,e]"

Suggestion: for the group operation: add x^-1 := [e,x,e]

- Alexey (dobriak@yahoo.com)  —Preceding unsigned comment added by 129.34.20.23 (talk) 19:06, 5 October 2007 (UTC)

[edit] Suggestion #2: add a link to the article "http://en.wikipedia.org/wiki/Principal_homogeneous_space"

Suggestion #2: add a link to the article "http://en.wikipedia.org/wiki/Principal_homogeneous_space" (it gives a definition of G-torsor).

- Alexey (dobriak@yahoo.com)  —Preceding unsigned comment added by 129.34.20.23 (talk) 21:36, 5 October 2007 (UTC)

[edit] Proposed relationship with groups and principal homogeneous space

I think the article should show how a group (and a principal homogeneous space) canonically carry the structure of a heap. If G is a group, then I am guessing that [x,y,z] = xy-1z. If P is a principal homogeneous set for a group G, then for each (x,y) ∈ P×P, there is a unique element of g (call it xy-1) such that gy=x. The bracket operation is defined as follows (I believe):

[-,-,-] : P\times P\times P \to P
[x,y,z] = (xy − 1)z

where the product is given by the group action of G on P. silly rabbit (talk) 20:44, 15 March 2008 (UTC)

I agree. And it is straightforward to see how just by choosing an identity element a heap can be turned into a group. Thanks for spotting and correcting my silly mistake, by the way! --Hans Adler (talk) 20:59, 15 March 2008 (UTC)