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Results tagged with character-theory
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user 502468
4
votes
0
answers
152
views
New characters from old
(All groups in the following discussion are assumed to be finite.)
Character induction is an operation that produces a character of a group given a character of a subgroup. I'm aware that there are ot …
- 1,433
2
votes
1
answer
255
views
An arithmetic problem involving a system of equations
Fix a positive integer $r$. Describe the solutions to the system of equations given by:
$$\begin{equation}\sum_{1\leq i\leq r}X_i^2\equiv0\pmod{X_k}(1\leq k\leq r)\end{equation}$$
Example: In the case …
- 1,433
11
votes
1
answer
926
views
Representations of finite groups over the "field with one element"
Have there been any attempts to extend the "F_un" analogy to the representation theory of finite groups?
If I might be allowed some speculation:
If combinatorics can be regarded as analagous to linear …
- 1,433