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How do I see the equality $57 = 3 \times 19$ geometrically?
Consider the finite field ${\bf F}_p$ and its cubic extension ${\bf F}_{p^3}$. The multiplicative group ${\bf G}_m({\bf F}_{p^3})$ contains the multiplicative group ${\bf G}_m({\bf F}_p) \cong {\bf Z}/...
- 364
6
votes
1
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Maximum number of elements in union of subspaces
Let $V$ be a $m$-dimensional vector space over $\mathbb{F}_q$ and $1<\ell<m-1$. Let $r$ be a positive integer such that $r\ell\leq m$.
QUESTION. What is the maximum number of elements in the ...
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