Definition of groups

A group in mathematics has the following properties:

There exist a set of elements p, q, r, …  and a binary operation which applied to p, q gives pq.

The set is closed under this single-valued operation.

  1.  The associative law: p(qr) = (pq)r.
  2. Identity law: p i = i p.
  3. Inverse law:   there exist p’ such that p p’ = p’ p 

If the group axioms are full-filled i is unique and the inverse is also unique.


Om mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics
Detta inlägg publicerades i Algebra. Bokmärk permalänken.


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