Publication Date:
11 April 2019
Journal:
Bulletin of the Australian Mathematical Society
Last Updated:
2021-04-08T04:01:47.043+01:00
abstract:
For G a finite non-Abelian group we write c(G) for the probability that two
randomly chosen elements commute and k(G) for the largest integer such that any
k(G)-colouring of G is guaranteed to contain a monochromatic quadruple
(x,y,xy,yx) with xy not equal to yx. We show that c(G) tends to 0 if and only
if k(G) tends to infinity.
randomly chosen elements commute and k(G) for the largest integer such that any
k(G)-colouring of G is guaranteed to contain a monochromatic quadruple
(x,y,xy,yx) with xy not equal to yx. We show that c(G) tends to 0 if and only
if k(G) tends to infinity.
Symplectic id:
959411
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Submitted to ORA:
Submitted
Publication Type:
Journal Article