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Essential p-dimension of the normalizer of a maximal torus

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Essential p-dimension of the normalizer of a maximal torus. / MacDonald, Mark.
In: Transformation Groups, Vol. 16, No. 4, 06.07.2011, p. 1143-1171.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

MacDonald, M 2011, 'Essential p-dimension of the normalizer of a maximal torus', Transformation Groups, vol. 16, no. 4, pp. 1143-1171. https://doi.org/10.1007/s00031-011-9157-2

APA

MacDonald, M. (2011). Essential p-dimension of the normalizer of a maximal torus. Transformation Groups, 16(4), 1143-1171. https://doi.org/10.1007/s00031-011-9157-2

Vancouver

MacDonald M. Essential p-dimension of the normalizer of a maximal torus. Transformation Groups. 2011 Jul 6;16(4):1143-1171. doi: 10.1007/s00031-011-9157-2

Author

MacDonald, Mark. / Essential p-dimension of the normalizer of a maximal torus. In: Transformation Groups. 2011 ; Vol. 16, No. 4. pp. 1143-1171.

Bibtex

@article{cd588c4da171477da6eb36d121f7feba,
title = "Essential p-dimension of the normalizer of a maximal torus",
abstract = "We compute the exact value of the essential p-dimension of the normalizer of a split maximal torus for most simple connected linear algebraic groups. These values give new upper bounds on the essential p-dimension of some simple groups, including some exceptional groups. For each connected simple algebraic group, we also give an upper bound on the essential p-dimension of any torus contained in that group. These results are achieved by a detailed case-by-case analysis.",
author = "Mark MacDonald",
year = "2011",
month = jul,
day = "6",
doi = "10.1007/s00031-011-9157-2",
language = "English",
volume = "16",
pages = "1143--1171",
journal = "Transformation Groups",
issn = "1531-586X",
publisher = "Birkhause Boston",
number = "4",

}

RIS

TY - JOUR

T1 - Essential p-dimension of the normalizer of a maximal torus

AU - MacDonald, Mark

PY - 2011/7/6

Y1 - 2011/7/6

N2 - We compute the exact value of the essential p-dimension of the normalizer of a split maximal torus for most simple connected linear algebraic groups. These values give new upper bounds on the essential p-dimension of some simple groups, including some exceptional groups. For each connected simple algebraic group, we also give an upper bound on the essential p-dimension of any torus contained in that group. These results are achieved by a detailed case-by-case analysis.

AB - We compute the exact value of the essential p-dimension of the normalizer of a split maximal torus for most simple connected linear algebraic groups. These values give new upper bounds on the essential p-dimension of some simple groups, including some exceptional groups. For each connected simple algebraic group, we also give an upper bound on the essential p-dimension of any torus contained in that group. These results are achieved by a detailed case-by-case analysis.

U2 - 10.1007/s00031-011-9157-2

DO - 10.1007/s00031-011-9157-2

M3 - Journal article

VL - 16

SP - 1143

EP - 1171

JO - Transformation Groups

JF - Transformation Groups

SN - 1531-586X

IS - 4

ER -