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On conjugacy of diagonalizable integral matrices
| Content Provider | Semantic Scholar |
|---|---|
| Author | Nebe, Gabriele |
| Copyright Year | 2019 |
| Abstract | It is shown that under some additional assumption two diagonalizable integral matrices X and Y with only rational eigenvalues are conjugate in GL(n,Z) if and only if they are conjugate over all localizations. This is used to prove that for a prime p == 3 (mod 4) the adjacency matrices of the Paley graph and the Peisert graph on p^2 vertices are conjugate in GL(p^2,Z), answering a question by Peter Sin. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1910.05974v1.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1910.05974 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
