Sylow subgroup question

Apr 2010
51
0
[FONT=&quot]If a group of order 5^2[/FONT]*[FONT=&quot]7[/FONT]*[FONT=&quot]11 has more than one 5-Sylow subgroup, exactly how many does it have? I don't know where to start, any help would be great(Rofl)
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Apr 2010
3
1
[FONT=&quot]If a group of order 5^2[/FONT]*[FONT=&quot]7[/FONT]*[FONT=&quot]11 has more than one 5-Sylow subgroup, exactly how many does it have? I don't know where to start, any help would be great(Rofl)[/FONT]
By your condition, we have the number of Sylow 5-subgroups is 7, 11, or 77, but must be conguence to 1 module 5, so it is 11.
 
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