Global Information Lookup Global Information

Surjunctive group information


Unsolved problem in mathematics:

Is every group surjunctive?

(more unsolved problems in mathematics)

In mathematics, a surjunctive group is a group such that every injective cellular automaton with the group elements as its cells is also surjective. Surjunctive groups were introduced by Gottschalk (1973). It is unknown whether every group is surjunctive.

and 4 Related for: Surjunctive group information

Request time (Page generated in 0.7656 seconds.)

Surjunctive group

Last Update:

mathematics: Is every group surjunctive? (more unsolved problems in mathematics) In mathematics, a surjunctive group is a group such that every injective...

Word Count : 758

Walter Gottschalk

Last Update:

Other research contributions of Gottschalk include the first study of surjunctive groups and a short proof of the De Bruijn–Erdős theorem on coloring infinite...

Word Count : 500

Sofic group

Last Update:

sofic groups that are not initially subamenable groups. As Gromov proved, Sofic groups are surjunctive. That is, they obey a form of the Garden of Eden...

Word Count : 357

List of unsolved problems in mathematics

Last Update:

Is every finitely presented periodic group finite? Is every group surjunctive? Is every discrete, countable group sofic? Problems in loop theory and quasigroup...

Word Count : 19532

PDF Search Engine © AllGlobal.net