Diagonal subgroup

In group theory, a field of mathematics, given a group G, then the diagonal subgroup of the n-fold direct product Gn is the subgroup

\{(g,\dots,g) \in G^n : g\in G\}.

This subgroup is isomorphic to G.

References


This article is issued from Wikipedia - version of the Friday, November 14, 2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.