Transposition (group theory)
From Maths
Revision as of 10:28, 30 November 2016 by Alec (Talk | contribs) (Created page with "{{Stub page|grade=A*|msg=Routine for first years, needed for some manifolds work. * Demote to grade {{C|D}} once more content is added}} __TOC__ ==Definition== Let {{M|S_k}} d...")
Stub grade: A*
This page is a stub
This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.The message provided is:
Routine for first years, needed for some manifolds work.
- Demote to grade D once more content is added
Contents
[hide]Definition
Let Sk denote the symmetric group on k∈N symbols. Then:
- (ij) denotes (in ordinary cycle notation the permutation:
- (ij):i↦j, (ij):j↦i and for all other m∈{1,…,k} (so m≠i and m≠j) we have: (ij):m↦m
Such an (ij) is called a transposition.
See also
References
|