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Timeline for "Embedding" functions in groups

Current License: CC BY-SA 2.5

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Dec 29, 2009 at 9:31 comment added Dinesh Qiaochu, I see the mistake in that argument. I was trying to get the cardinality of the group down from 2^|S| in Jason's argument to |S|^2. I will edit the post accordingly. Thanks.
Dec 29, 2009 at 9:28 history edited Dinesh CC BY-SA 2.5
Removed a flawed argument
Dec 29, 2009 at 9:27 comment added Qiaochu Yuan Dinesh, the way I interpreted your question you wanted to interpret the elements of S as elements of the group in one way (the function g in the notation I gave above), but that embedding you give requires that we have two functions g_1, g_2 instead. Was this your intended meaning? If so, symmetry is unnecessary, but I fail to understand how this can actually help you accomplish what you want since you've only turned the problem of computing f into the problem of computing h, g_1, and g_2.
Dec 29, 2009 at 9:27 history undeleted Dinesh
Dec 29, 2009 at 9:26 history deleted Dinesh
Dec 29, 2009 at 9:17 history undeleted Dinesh
Dec 29, 2009 at 9:13 history deleted Dinesh
Dec 29, 2009 at 9:13 history answered Dinesh CC BY-SA 2.5