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Results tagged with algebraic-groups
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user 28104
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
8
votes
Accepted
Counting conjugacy classes in simple groups of Lie type
According to
Fleischmann, Peter; Janiszczak, Ingo.
On the computation of conjugacy classes of Chevalley groups.
Appl. Alg. in Eng., Comm. and Comp. 1996, 7(3), 221--234
the class number of $ …
- 19.6k
22
votes
Small-index subgroups of SL(3,Z)
In order to answer the question we need a finite presentation
of ${\rm SL}(3,\mathbb{Z})$ and a general method to find all subgroups of index
$\leq n$ of a finitely presented group:
A finite present …
- 19.6k
4
votes
Accepted
What is the most efficient way to factor a matrix into a given set of generators?
As to your general question, there is a method which is better
than the inefficient solution you give. -- Namely, compute spheres of radii
$r = 1, 2, \dots$ with respect to the word metric about the i …
- 19.6k