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