The essential $2$-dimension of the linear groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908478673518592 |
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| author | Knight, Hannah |
| author_facet | Knight, Hannah |
| contents | In this paper, we compute the essential $2$-dimension when the defining prime is odd of the general linear groups, the projective general linear groups, the special linear groups when $n$ is odd or $n = 2$, as well as the special linear groups and quotients of it (such as the projective special linear groups) in the case case $q \equiv 1 \mod 4$, $s = v_2(q-1)$, and $Γ= \text{Gal}(k(ζ_{2^s})/k)$ is trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The essential $2$-dimension of the linear groups Knight, Hannah Group Theory Algebraic Geometry Representation Theory In this paper, we compute the essential $2$-dimension when the defining prime is odd of the general linear groups, the projective general linear groups, the special linear groups when $n$ is odd or $n = 2$, as well as the special linear groups and quotients of it (such as the projective special linear groups) in the case case $q \equiv 1 \mod 4$, $s = v_2(q-1)$, and $Γ= \text{Gal}(k(ζ_{2^s})/k)$ is trivial. |
| title | The essential $2$-dimension of the linear groups |
| topic | Group Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2508.02859 |