Home > Research > Publications & Outputs > Torsion free endotrivial modules for finite gro...

Research

Associated organisational unit

Electronic data

  • TF_final

    Accepted author manuscript, 434 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

Keywords

View graph of relations

Torsion free endotrivial modules for finite groups of Lie type

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

Published

Standard

Torsion free endotrivial modules for finite groups of Lie type. / Carlson, Jon F.; Grodal, Jesper; Mazza, Nadia et al.
In: Pacific Journal of Mathematics, Vol. 317, No. 2, 14.07.2022, p. 239-274.

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

Harvard

Carlson, JF, Grodal, J, Mazza, N & Nakano, DK 2022, 'Torsion free endotrivial modules for finite groups of Lie type', Pacific Journal of Mathematics, vol. 317, no. 2, pp. 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 Jul 14;317(2):239-274. doi: 10.2140/pjm.2022.317.239

Author

Carlson, Jon F. ; Grodal, Jesper ; Mazza, Nadia et al. / Torsion free endotrivial modules for finite groups of Lie type. In: Pacific Journal of Mathematics. 2022 ; Vol. 317, No. 2. pp. 239-274.

Bibtex

@article{c18811b5747b45fd9a6388d239c10ff2,
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. Equivalently, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$. This classification may be of independent interest.",
keywords = "endotrivial modules, finite groups of Lie type, elementary abelian subgroups",
author = "Carlson, {Jon F.} and Jesper Grodal and Nadia Mazza and Nakano, {Daniel K.}",
year = "2022",
month = jul,
day = "14",
doi = "10.2140/pjm.2022.317.239",
language = "English",
volume = "317",
pages = "239--274",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "University of California, Berkeley",
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 - 2022/7/14

Y1 - 2022/7/14

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. Equivalently, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$. This classification 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. Equivalently, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$. This classification may be of independent interest.

KW - endotrivial modules, finite groups of Lie type, elementary abelian subgroups

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 -