Browsing 2013 by Subject "Conjugacy Classes"

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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 ...