Avoidable sets in groups

Details Avoidable sets in groups Avoidable sets in groups

2002-11-12

arxiv.org/abs/math/0211184v1

Mathematics

Combinatorics

13 pages

Scientific paper

In a set equipped with a binary operation, (S,*), a subset U is defined to be avoidable if there exists a partition {A,B} of S such that no element of U is the product of two distinct elements of A or of two distinct elements of B. For more than two decades, avoidable sets in the natural numbers (under addition) have been studied by renowned mathematicians such as Erdos, and a few families of sets have been shown to be avoidable in that setting. In this paper we investigate the generalized notion of an avoidable set and determine the avoidable sets in several families of groups; previous work in this field considered only the case (S, *) = (N, +).

Affiliated with

Also associated with

No associations

Rating

Avoidable sets in groups 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 Avoidable sets in groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Avoidable sets in groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19424