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Results tagged with finite-groups
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user 4366
Questions on group theory which concern finite groups.
2
votes
What natural numbers can be considered as the product of orders of elements of a finite (abe...
First of all, the Putnam exam problem is about 2-groups and I highly doubt that the generalization proposed above is in any way tractable. That having been said, for $S_n$, every permutation has a cyc …
- 1,472
1
vote
Accepted
Homomorphisms from irreducible spaces to reducible spaces
I assume you are talking about representations of $S_n$ over $\mathbb{C}$. In this case, $\mathbb{C}S_n$ is left semi-simple by Maschke's Theorem, so every representation of $S_n$ is a direct sum of i …
- 1,472