Page 1 of 1

help!GR 9367 # 59

Posted: Sun Oct 07, 2012 5:21 pm
by sss
GR 9367 # 59
Two subgroups H and K of a group have orders 12 and 30, respectively. Which of the following could Not be the order of the subgroup of G generated by H and K?
answer: A 30
I couldn't figure it out.
Thank you very much in advance!

Re: help!GR 9367 # 59

Posted: Sun Oct 07, 2012 6:23 pm
by vonLipwig
The subgroup H of order 12 is going to be a subgroup of the subgroup generated by H and K, so 12 must divide the order of this second subgroup. 12 doesn't divide 30.

Re: help!GR 9367 # 59

Posted: Sun Oct 07, 2012 9:06 pm
by sss
Thank you very much~