Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups of rank six and seven
نویسندگان
چکیده
منابع مشابه
CALCULATING CONJUGACY CLASSES IN SYLOW p-SUBGROUPS OF FINITE CHEVALLEY GROUPS
In [8, §8], the first author outlined an algorithm for calculating a parametrization of the conjugacy classes in a Sylow p-subgroup U(q) of a finite Chevalley group G(q), valid when q is a power of a good prime for G(q). In this paper we develop this algorithm and discuss an implementation in the computer algebra language GAP. Using the resulting computer program we are able to calculate the pa...
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Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2014
ISSN: 1461-1570
DOI: 10.1112/s1461157013000284