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2 questions
2
votes
1
answer
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Conjugate subgroups by permutation matrices
Is the following statement true or false?
In $G=\operatorname{GL}_{n}(\textbf{C})$, two elementary abelian $2$-subgroups $X$ and $Y$ of $G$ whose generators are all diagonal matrices are conjugate if ...
- 1,321
3
votes
1
answer
227
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Transitivity of $\Omega$ in subspace actions
Let $G=O(V, Q)$ be a finite orthogonal group acting naturally on a space $V\cong \mathbb{F}_q^n$ equipped with a quadratic form $Q$. Assume $n=\dim V\geq c$ for some large enough constant $c$ in order ...
- 687