Generating sets of free groups and the axiom of choice |
| |
Authors: | Philipp Kleppmann |
| |
Institution: | Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, , Cambridge CB3 0WA, United Kingdom |
| |
Abstract: | Write F(X) for the free group generated by X. We show that the statement for infinite sets is equivalent to the Axiom of Choice, whereas the statement is strictly weaker than the Axiom of Choice. |
| |
Keywords: | |
|
|