Browsing 2013 by MSC "20"
Now showing items 1-2 of 2
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Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups of rank six and seven
[OWP-2013-10] (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-10)Let $G(q)$ be a finite Chevalley group, where $q$ is a power of a good prime $p$, and let $U(q)$ be a Sylow $p$-subgroup of $G(q)$. Then a generalized version of a conjecture of Higman asserts that the number $k(U(q))$ of ... -
G-complete reducibility in non-connected groups
[OWP-2013-09] (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-10)In this paper we present an algorithm for determining whether a subgroup $H$ of a non-connected reductive group $G$ is $G$-completely reducible. The algorithm consists of a series of reductions; at each step, we perform ...