As we know,there are 9 Sylow 2-subgroup in the Simple group of order 504.Can anyone prove it only by Sylow's theorem?
(you can't use knowledge about PSL(2,8))
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$\begingroup$ Questions like this are much better suited to math.stackexchange.com. Math overflow is for research level questions $\endgroup$– dward1996Commented Jan 1, 2014 at 16:29
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1 Answer
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This assertion had proved on the page 311 in:
F. N. Cole, Simple Groups as Far as Order 660. American Journal of Mathematics, Vol. 15, No. 4 (1893), pp. 303-315.
answered Dec 15, 2013 at 9:00
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$\begingroup$ I have read his article,but the terminologies he used are so hard to understand,I want to find a easy proof with Sylow's theorem $\endgroup$ Commented Dec 15, 2013 at 9:15