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Endotrivial Modules for Finite Groups of Lie Type A in Nondefining Characteristic by Carlson, Jon F.; Mazza, Nadia; Nakano, Daniel K. is a scholarly article available to read on EtoBox.

What is Endotrivial Modules for Finite Groups of Lie Type A in Nondefining Characteristic about?

Let $G$ be a finite group such that $\text{SL}(n,q)\subseteq G \subseteq \text{GL}(n,q)$ and $Z$ be a central subgroup of $G$. In this paper we determine the group $T(G/Z)$ consisting of the equivalence classes of endotrivial $k(G/Z)$-modules where $k$ is an algebraically closed field of characteristic $p$ such that $p$ does not divide $q$. The results in this paper complete the classification of endotrivial modules for all finite groups of Lie Type $A$, initiated earlier by the authors.

Author

Carlson, Jon F.; Mazza, Nadia; Nakano, Daniel K.

Published

2015

Language

EN