Geometric Characterization of Property R

Details Geometric Characterization of Property R Geometric Characterization of Property R

2003-08-02

arxiv.org/abs/math/0308013v2

Mathematics

Group Theory

8 pages, 4 figures

Scientific paper

Consider pairs of the form (G, N), with G a group and N \normal G, as objects of a category \PG. A morphism (G_1, N_1) \To (G_2, N_2) will be a group homomorphism f : G_1 \To G_2 such that f(N_1) \subset N_2. We introduce a functor Q : \PG \To \Groups, which provides a geometric definition of Property R, since it is most naturally visualized by means of a directed graph. We compute these graphs for a number of finite groups of small order, and prove a general characterization of the graphs which occur in this way.

Affiliated with

Also associated with

No associations

Rating

Geometric Characterization of Property R does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric Characterization of Property R, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric Characterization of Property R will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273373