%0 Journal Article %1 jones2019infinite %A Jones, Gareth A. %D 2019 %E and, %K Infinite graph rado %T Infinite Paley graphs %U http://arxiv.org/abs/1912.02709 %X Infinite analogues of the Paley graphs are constructed, based on uncountably many infinite but locally finite fields. Weil's estimate for character sums shows that they are all isomorphic to the random or universal graph of Erd\H os, Rényi and Rado. Automorphism groups and connections with model theory are considered.

@article{jones2019infinite, abstract = {Infinite analogues of the Paley graphs are constructed, based on uncountably many infinite but locally finite fields. Weil's estimate for character sums shows that they are all isomorphic to the random or universal graph of Erd\H os, R\'enyi and Rado. Automorphism groups and connections with model theory are considered.}, added-at = {2019-12-06T15:44:32.000+0100}, author = {Jones, Gareth A.}, biburl = {https://www.bibsonomy.org/bibtex/2cf8309225e4c61ff90a88a6acbbe7f2e/j.c.m.janssen}, description = {Infinite Paley graphs}, editor = {and}, interhash = {6489e0d86009dc274d952c007c62f0c0}, intrahash = {cf8309225e4c61ff90a88a6acbbe7f2e}, keywords = {Infinite graph rado}, note = {cite arxiv:1912.02709Comment: 10 pages/}, timestamp = {2019-12-06T15:44:32.000+0100}, title = {Infinite Paley graphs}, url = {http://arxiv.org/abs/1912.02709}, year = 2019 }