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Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.

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

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Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. / Carlson, Jon; Mazza, Nadia; Thévenaz, Jacques.
In: Journal of the European Mathematical Society, Vol. 15, No. 1, 2013, p. 157-177.

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

Harvard

Carlson, J, Mazza, N & Thévenaz, J 2013, 'Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.', Journal of the European Mathematical Society, vol. 15, no. 1, pp. 157-177. https://doi.org/10.4171/JEMS/358

APA

Carlson, J., Mazza, N., & Thévenaz, J. (2013). Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. Journal of the European Mathematical Society, 15(1), 157-177. https://doi.org/10.4171/JEMS/358

Vancouver

Carlson J, Mazza N, Thévenaz J. Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. Journal of the European Mathematical Society. 2013;15(1):157-177. doi: 10.4171/JEMS/358

Author

Carlson, Jon ; Mazza, Nadia ; Thévenaz, Jacques. / Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. In: Journal of the European Mathematical Society. 2013 ; Vol. 15, No. 1. pp. 157-177.

Bibtex

@article{7098cb57f2f949588268a03d73732390,
title = "Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.",
abstract = "Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial kG-modules, whose restrictions to P are isomorphic to the direct sum of the known exotic endotrivial kP-modules and some projective modules. This provides a description of the group T(G) of endotrivial kG-modules.",
author = "Jon Carlson and Nadia Mazza and Jacques Th{\'e}venaz",
year = "2013",
doi = "10.4171/JEMS/358",
language = "English",
volume = "15",
pages = "157--177",
journal = "Journal of the European Mathematical Society",
issn = "1435-9863",
publisher = "European Mathematical Society Publishing House",
number = "1",

}

RIS

TY - JOUR

T1 - Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.

AU - Carlson, Jon

AU - Mazza, Nadia

AU - Thévenaz, Jacques

PY - 2013

Y1 - 2013

N2 - Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial kG-modules, whose restrictions to P are isomorphic to the direct sum of the known exotic endotrivial kP-modules and some projective modules. This provides a description of the group T(G) of endotrivial kG-modules.

AB - Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial kG-modules, whose restrictions to P are isomorphic to the direct sum of the known exotic endotrivial kP-modules and some projective modules. This provides a description of the group T(G) of endotrivial kG-modules.

U2 - 10.4171/JEMS/358

DO - 10.4171/JEMS/358

M3 - Journal article

VL - 15

SP - 157

EP - 177

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

SN - 1435-9863

IS - 1

ER -