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Results tagged with co.combinatorics
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user 27514
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
2
votes
1
answer
279
views
What is the number of $2n\times 2n$-matrices $g=\begin{pmatrix} A & B \\\ C & -A^{t} \end{pm...
It is not difficult to get a formula for the number of $n\times n$-matrices
$g\in\mathrm{Mat}_{n}(\mathbb{F}_{q})$ with $\mathrm{rank}(g)=k$. Namely we have got
\begin{align*}
\mid\{g\in\mathrm{Mat}_ …
- 23
0
votes
0
answers
74
views
Number of subgroups of finite abelian p-groups with a certain cotype.
Given a finite abelian $p$-group $G$ of rank $r$ I'm looking for the number of elements in a group $H$ with $\mathrm{rk}(H)=r$, such that $H/\langle y\rangle\cong G$.
- 23