Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted 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 ( …
HJRW's user avatar
  • 25.2k
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 …
HJRW's user avatar
  • 25.2k
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 …
HJRW's user avatar
  • 25.2k