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Fricke identities, Frobenius k-characters and Markov equation
In 1896 Frobenius and Fricke published two seemingly unrelated papers: Frobenius started to develop his theory of k-characters for finite groups motivated by Dedekind’s question about factorisation of the group determinant, while Fricke followed Klein’s approach to the uniformization theorem. We sho...
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| Format: | Default Book chapter |
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2021
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| Online Access: | https://hdl.handle.net/2134/14761797.v1 |
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| author | Victor Buchstaber Alexander Veselov |
| author_facet | Victor Buchstaber Alexander Veselov |
| author_sort | Victor Buchstaber (10952190) |
| collection | Figshare |
| description | In 1896 Frobenius and Fricke published two seemingly unrelated papers: Frobenius started to develop his theory of k-characters for finite groups motivated by Dedekind’s question about factorisation of the group determinant, while Fricke followed Klein’s approach to the uniformization theorem. We show that in fact these two works can be naturally linked and both are related to remarkable Markov’s paper of 1880 on arithmetic of binary quadratic forms. |
| format | Default Book chapter |
| id | rr-article-14761797 |
| institution | Loughborough University |
| publishDate | 2021 |
| record_format | Figshare |
| spelling | rr-article-147617972021-03-31T00:00:00Z Fricke identities, Frobenius k-characters and Markov equation Victor Buchstaber (10952190) Alexander Veselov (1259028) Uncategorised value In 1896 Frobenius and Fricke published two seemingly unrelated papers: Frobenius started to develop his theory of k-characters for finite groups motivated by Dedekind’s question about factorisation of the group determinant, while Fricke followed Klein’s approach to the uniformization theorem. We show that in fact these two works can be naturally linked and both are related to remarkable Markov’s paper of 1880 on arithmetic of binary quadratic forms. 2021-03-31T00:00:00Z Text Chapter 2134/14761797.v1 https://figshare.com/articles/chapter/Fricke_identities_Frobenius_k-characters_and_Markov_equation/14761797 CC BY-NC-ND 4.0 |
| spellingShingle | Uncategorised value Victor Buchstaber Alexander Veselov Fricke identities, Frobenius k-characters and Markov equation |
| title | Fricke identities, Frobenius k-characters and Markov equation |
| title_full | Fricke identities, Frobenius k-characters and Markov equation |
| title_fullStr | Fricke identities, Frobenius k-characters and Markov equation |
| title_full_unstemmed | Fricke identities, Frobenius k-characters and Markov equation |
| title_short | Fricke identities, Frobenius k-characters and Markov equation |
| title_sort | fricke identities, frobenius k-characters and markov equation |
| topic | Uncategorised value |
| url | https://hdl.handle.net/2134/14761797.v1 |