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and every size squared of conjugacy class of G divides the order of G, then every size squared of conjugacy class of K divides the order of K?

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(i) Please don't start in the subject, finish in the body. Put the complete question in the body; (ii) Please make subjects informative; (iii) Please follow the guidelines for tags. – Arturo Magidin Sep 3 at 2:17
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See my comment on the OP's other question: voting to close for the same reason. – Igor Rivin Sep 3 at 2:59
What Igor said. Angela: please look at mathoverflow.net/howtoask and try to present your question with some motivation, context and indication of what you have already tried. – Yemon Choi Sep 3 at 3:24

closed as not a real question by Igor Rivin, Will Jagy, Qiaochu Yuan, Steven Landsburg, Yemon Choi Sep 3 at 3:24

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