Torsion Free Endotrivial Modules for Finite Groups of Lie Type

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Standard

Torsion Free Endotrivial Modules for Finite Groups of Lie Type. / Carlson, Jon F.; Grodal, Jesper; Mazza, Nadia; Nakano, Daniel K.

I: Pacific Journal of Mathematics, Bind 317, Nr. 2, 2022, s. 239-274.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Carlson, JF, Grodal, J, Mazza, N & Nakano, DK 2022, 'Torsion Free Endotrivial Modules for Finite Groups of Lie Type', Pacific Journal of Mathematics, bind 317, nr. 2, s. 239-274. https://doi.org/10.2140/pjm.2022.317.239

APA

Carlson, J. F., Grodal, J., Mazza, N., & Nakano, D. K. (2022). Torsion Free Endotrivial Modules for Finite Groups of Lie Type. Pacific Journal of Mathematics, 317(2), 239-274. https://doi.org/10.2140/pjm.2022.317.239

Vancouver

Carlson JF, Grodal J, Mazza N, Nakano DK. Torsion Free Endotrivial Modules for Finite Groups of Lie Type. Pacific Journal of Mathematics. 2022;317(2):239-274. https://doi.org/10.2140/pjm.2022.317.239

Author

Carlson, Jon F. ; Grodal, Jesper ; Mazza, Nadia ; Nakano, Daniel K. / Torsion Free Endotrivial Modules for Finite Groups of Lie Type. I: Pacific Journal of Mathematics. 2022 ; Bind 317, Nr. 2. s. 239-274.

Bibtex

@article{bbd1d8da17d0451383c28ccfc0ab020d,
title = "Torsion Free Endotrivial Modules for Finite Groups of Lie Type",
abstract = " In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$, which may be of independent interest. ",
keywords = "math.GR, math.RT, 20C33,",
author = "Carlson, {Jon F.} and Jesper Grodal and Nadia Mazza and Nakano, {Daniel K.}",
year = "2022",
doi = "10.2140/pjm.2022.317.239",
language = "English",
volume = "317",
pages = "239--274",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "Mathematical Sciences Publishers",
number = "2",

}

RIS

TY - JOUR

T1 - Torsion Free Endotrivial Modules for Finite Groups of Lie Type

AU - Carlson, Jon F.

AU - Grodal, Jesper

AU - Mazza, Nadia

AU - Nakano, Daniel K.

PY - 2022

Y1 - 2022

N2 - In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$, which may be of independent interest.

AB - In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$, which may be of independent interest.

KW - math.GR

KW - math.RT

KW - 20C33,

U2 - 10.2140/pjm.2022.317.239

DO - 10.2140/pjm.2022.317.239

M3 - Journal article

VL - 317

SP - 239

EP - 274

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -

ID: 242358890