An algebraic groups perspective on Erdős-Ko-Rado
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909378056028160 |
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| author | Woodroofe, Russ |
| author_facet | Woodroofe, Russ |
| contents | We give a proof of the Erdős-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erdős-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_03707 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An algebraic groups perspective on Erdős-Ko-Rado Woodroofe, Russ Combinatorics Group Theory 05D05, 20G20, 14L30 We give a proof of the Erdős-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erdős-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices. |
| title | An algebraic groups perspective on Erdős-Ko-Rado |
| topic | Combinatorics Group Theory 05D05, 20G20, 14L30 |
| url | https://arxiv.org/abs/2007.03707 |