Avoiding 3-term Geometric Progressions in Non-commutative Settings


Several recent papers have considered the Ramsey-theoretic problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has also recently been generalized to number fields and Fq[x]. We study the analogous problem in two noncommutative settings, quaternions and free groups, to see how lack of… (More)