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Results tagged with linear-algebra
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user 1463
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
12
votes
Finitely presented sub-groups of $\operatorname{GL}(n,C)$
You can combine the Bridson--Miller paper that Agol mentions with recent work of Haglund and Wise (specifically, their GAFA paper Special cube complexes) to show that the algorithmic problem in part ( …
16
votes
Examples of finitely presented subgroups of $\operatorname{GL}(n,\mathbb{Z})$ with unsolvabl...
Finitely presented $\mathbb{Z}$-linear groups with unsolvable conjugacy problem are known to exist, although writing them down explicitly will be extremely painful! I'm not sure (or have perhaps forgo …
8
votes
Accepted
Characterizations of groups whose general linear representations are all trivial
With no limit on $n$, Martin Bridson and I proved that this property is undecidable for finitely presented groups. See the reformulation of the main theorem on page 2 of Bridson and Wilton - The trivi …