I know that a group H has exactly one 3-Sylow subgroup L. Also, |H|=30. And |M|=15 is normal.

Now I should consider the quotient group H/M and prove that . And then that each element of odd order in H is in M.

Can someone help me please?

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- September 11th 2010, 01:16 AMHoneyPiquotient group
I know that a group H has exactly one 3-Sylow subgroup L. Also, |H|=30. And |M|=15 is normal.

Now I should consider the quotient group H/M and prove that . And then that each element of odd order in H is in M.

Can someone help me please? - September 13th 2010, 12:33 AMSwlabr
I don't know - it depends on what you are trying to prove...

- September 13th 2010, 04:06 AMtonio