Today I Learned

Some of the things I've learned every day since Oct 10, 2016

101: Non-Commutativity of Symmetric Groups

In general, the symmetric group S_n (the set of permutations of n distinct objects under permutation composition) is non-abelian. The somewhat trivial exception is when n \leq 2.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: