|May31-05, 04:31 PM||#1|
Need a bit of help
I've been given a problem where G is a group acting on an infinite set X. N is a natural number and G acts transitively on the set of subsets of cardinality n of X. (k is smaller than n.)
the question is does this mean/imply that G acts transitively on the set of subsets of cardinality k?
I've been told it has something to do with Ramsey?!
- Doesn't matter I jsut realised how to do it