On a characterization of locally finite groups in terms of linear cellular automata

Details On a characterization of locally finite groups in terms of linear cellular automata On a characterization of locally finite groups in terms of linear cellular automata

2009-06-26

arxiv.org/abs/0906.4891v1

J. Cell. Autom. 6 (2011), 207-213

Mathematics

Group Theory

Scientific paper

We prove that a group $G$ is locally finite if and only if every surjective
real (or complex) linear cellular automaton with finite-dimensional alphabet
over $G$ is injective.

Affiliated with

Also associated with

No associations

Rating

On a characterization of locally finite groups in terms of linear cellular automata 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 On a characterization of locally finite groups in terms of linear cellular automata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a characterization of locally finite groups in terms of linear cellular automata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670721