Browsing 2013 by MSC "20"

Now showing items 1-2 of 2

Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups of rank six and seven

[OWP-2013-10] Goodwin, Simon M.; Mosch, Peter; Röhrle, Gerhard (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] Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard (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 ...