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We just finished a lesson about determinants and the symmetric group with all what comes with it ( permutations, transpositions etc... ), except we didn't do group theory ( we only see it next year ), just some general algebra. But I'd like to know if there are some nice problems online about permutations ( like for example Muirhead's inequality ).

Thanks !

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    "Nice" is such a personal thing...and without grout theory that's even more limited. Also I'm not sure how Muirhead's ineq. fits in here...2012-05-21
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    Grout theory? Well, I guess you can apply it to tilings....2012-05-21
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    I don't know if they are available on-line, but John D. Dixon's **Problems in Group Theory** (Dover) Chapter 2 is about permutation groups, and de Souza and Silva's **Berkeley Problems in Mathematics**, section 6.5, is about $S_n$, $A_n$, $D_n$, etc.2012-05-21

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