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Results tagged with linear-algebra
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user 19075
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
8
votes
Accepted
Centralizer of a Matrix over a Finite Field
Let me add some cases in which one has a clear answer:
[R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991., Corollary 4.4.18]. Let $F$ be a field and $n$ …
- 3,738
3
votes
0
answers
195
views
Vector spaces over a field of prime order with certain hyperplanes
Let $V$ be a vector space of finite dimentional $d$ over a field of prime order $p$.
For what values of $d$ and $p$, one can find $d+1$ (pairwise distinct) hyperplanes (subspaces of dimension $d-1$) $ …
- 3,738
-1
votes
Elements of finite order of $\mathrm{PGL}(n,\mathbb{Q})$
See
https://math.temple.edu/~lorenz/papers/sizes/sizes.pdf
Look for
The Minkowski sequence
- 3,738