Talk:Permutation group

From Citizendium
Jump to navigation Jump to search
This article is a stub and thus not approved.
 Main Article
 Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
To learn how to update the categories for this article, see here. To update categories, edit the metadata template.
 Definition:  Group whose elements are permutations of some set of symbols where the product of two permutations is the permutation arising from successive application of the two. [d] [e]
Checklist and Archives
 Workgroup category:  Mathematics [Please add or review categories]
 Talk Archive:  none  English language variant:  Not specified

Symmetry group

Is the symmetry group always about affine transformations? In some context symmetries are motions (or isometries) rather than all affine transformations. More generally, isomorphisms of a given structure (of any kind) are often called symmetries. --Boris Tsirelson 07:18, 16 December 2010 (UTC)

English

I am not a native English speaker, but let me wonder, why "the set of permutations on a set of objects form a group, is called a permutation group" rather than "the set of permutations on a set of objects is a group, called a permutation group" or "permutations on a set of objects form a group, called a permutation group"? --Boris Tsirelson 07:20, 16 December 2010 (UTC)

More difficult?

"The existence of an identity is slightly more difficult to establish" — really? --Boris Tsirelson 07:23, 16 December 2010 (UTC)

Retrieved from "https://citizendium.org/wiki/index.php?title=Talk:Permutation_group&oldid=605241"