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Results tagged with gr.group-theory
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user 27513
Questions about the branch of algebra that deals with groups.
3
votes
1
answer
223
views
Intersections of products of Sylow $p$-subgroups
Motivated by the work of Cohn, Umans and collaborators on bounding the complexity of matrix multiplication, a student and I have been investigating the following problem.
For subsets $X$ and $Y$ of a …
- 1,300
8
votes
Are these two methods for constructing Hadamard matrices known?
Two matrices are Hadamard equivalent if they differ from one another by permuting and negating rows and columns. It is known that there is a unique Hadamard equivalence class of Hadamard matrices at o …
- 1,300
5
votes
Distribution of the powers of a primitive element of a finite field
It is known that subgroups of the multiplicative group of a finite field (i.e. $k^{th}$ powers for some value of $k$ dividing $q-1$) look approximately like a random set in the additive group of the f …
- 1,300
3
votes
0
answers
85
views
Stem extensions and quotients of Schur covers
Suppose that $G$ is a finite group, and that $\Gamma$ is a central extension of $G$ by $A$, that is
$$ 1 \rightarrow A \rightarrow \Gamma \rightarrow G \rightarrow 1$$
with the image of $A$ contained …
- 1,300