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Questions about the branch of algebra that deals with groups.

3 votes
Accepted

The stabilizer of the conditionally convergent series

[Making comment into answer.] If there is a constant $C$ such that $|\sigma(n)−n| \leq C$ for all $n$, then $\sigma$ is sum-preserving. And this "boundedness" property is preserved by compositions and …
Zach Teitler's user avatar
  • 6,237
2 votes
Accepted

Given the index of two permutations, Is there a direct way to compute the index of their com...

As noted in the comments, there are problems with adding leading zeros to an index (indices $10$, $010$, $0010$ correspond to different permutations $21$, $132$, $1243$) or conversely, adding fixed po …
Zach Teitler's user avatar
  • 6,237