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May 5, 2014 at 22:13 history edited Geoff Robinson CC BY-SA 3.0
Tried to clarify exactly when the inequality becomes strict to answer Jack Schmidt's question
May 5, 2014 at 22:09 comment added Jack Schmidt I didn't understand it the first time, but the second time you told me it was perfectly clear (and your edit is perfectly clear). The Burnside/Gallagher remarks are just FYI, so I'll delete those too. Thanks for helping me understand projective characters. Grouping them by lambda instead of alpha makes more sense to me.
May 5, 2014 at 22:07 history edited Geoff Robinson CC BY-SA 3.0
Tried to clarify exactly when the inequality becomes strict to answer Jack Schmidt's question
Apr 28, 2014 at 14:01 history edited Geoff Robinson CC BY-SA 3.0
added 43 characters in body
Apr 28, 2014 at 13:54 history edited Geoff Robinson CC BY-SA 3.0
Added explanation
Apr 28, 2014 at 13:36 comment added A.L. Prins Please ,Geoff I tried to find some references as you suggested, but was not successful. Perhaps you will be more fortunate to find at least one valid reference.
Apr 25, 2014 at 9:17 comment added Geoff Robinson It is somewhere in Burnside's book "Theory of groups.." that $\sum_{\chi} \frac{\chi(g)}{\chi(1)}$ is non-zero if and only if $g$ is a commutator, and is positive if $g$ is a commutator. For the other question, maybe work of P.X. Gallagher ( or is it Gallacher?). It is "well-known" to specialists.
Apr 25, 2014 at 8:33 comment added user50002 Geoff Robinson answer my question which I asked on the 12 April 2014. Please, Geoff can you give me the reference to the inequality Burnside proved. Also, you mentioned the answer to my question is a known fact, so can you supply me with some references where they proved it.
Apr 13, 2014 at 18:47 history edited Geoff Robinson CC BY-SA 3.0
expanded, clarified
Apr 13, 2014 at 18:40 history edited Geoff Robinson CC BY-SA 3.0
corrected minor typo
Apr 12, 2014 at 20:50 history edited Geoff Robinson CC BY-SA 3.0
added 61 characters in body
Apr 12, 2014 at 20:36 history edited Geoff Robinson CC BY-SA 3.0
clarified
Apr 12, 2014 at 19:12 history answered Geoff Robinson CC BY-SA 3.0