Torsion Free Endotrivial Modules for Finite Groups of Lie Type
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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
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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