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Results tagged with symmetric-groups
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user 5952
The symmetric group $S_n$ is the group of permutations of the set of integers $\{1,\dots,n\}$. This has $n!$ elements and is generated by the $n-1$ involutions exchanging consecutive integers. The symmetric groups form the simplest family of Coxeter groups.
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votes
How ugly is the isomorphism R[GxH] = R[G] (X) R[H] for groups G, H?
As a partial answer to (2): If $k$ is algebraically closed (any characteristic) and $G$ and $H$ finite, then the tensor product of any irreducible $k$--representation $V$ of $G$ with any irreducible $ …
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