Home Articles FAQs XREF Games Software Instant Books BBS About FOLDOC RFCs Feedback Sitemap


You are here: irt.org | FOLDOC | group

A group G is a non-empty set upon which a binary operator * is defined with the following properties for all a,b,c in G:

  Closure:     G is closed under *,  a*b in G
  Associative: * is associative on G, (a*b)*c = a*(b*c)
  Identity:    There is an identity element  e  such that
	       a*e = e*a = a.
  Inverse:     Every element has a unique inverse a' such that
	       a * a' = a' * a = e.  The inverse is usually
	       written with a superscript -1.


Nearby terms: grok « gronk « gronked « group » Group 3 » Group 4 » Group Code Recording

FOLDOC, Topics, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, ?, ALL

©2018 Martin Webb