Tag Archives: inverses

MaBloWriMo 19: groups from monoids

Posted on November 20, 2015 by Brent

So, you have a monoid, that is, a set with an associative binary operation that has an identity element. But not all elements have inverses, so it is not a group. Assuming you really want a group, what can you … Continue reading →

Posted in algebra, group theory, proof | Tagged , , , , , | 1 Comment

MaBloWriMo 10: Groups

Posted on November 11, 2015 by Brent

So what is a group? Intuitively, a group consists of a set of things , such that there is a way to combine any two things together there is a special thing which has no effect when combined with other … Continue reading →

Posted in algebra, group theory | Tagged , , , , , | 2 Comments