Recent content by clkt

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    How do I find an isomorphism between Sn+m and Zn x Zm?

    ah, thanks, I think I have it figured out now!
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    How do I find an isomorphism between Sn+m and Zn x Zm?

    Hi, this isn't exactly a homework question... Anyways, rereading my question again, I made a mistake. It should be how do I find an isomorphism between A SUBGROUP in Sn+m and Zn x Zm. If it is specific cases like n,m = 2,2 I can figure it out. But how do I figure out a general form for the...
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    How do I find an isomorphism between Sn+m and Zn x Zm?

    How do I find an isomorphism between Sn+m and Zn x Zm? provided n,m are not relatively prime? Thanks.
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    Proof Even Order Groups Have Element of Order 2

    ahhhh, thank you!
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    Proof Even Order Groups Have Element of Order 2

    I guess my question is, what is the property of a group that dictates that every element must have a "partner" to cancel out with?
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    Proof Even Order Groups Have Element of Order 2

    How do I proof that groups of an even order must have an element of order 2? I have a vague idea, but I don't know how to put my idea together. Aside from identity, there are an odd number of elements in my group. So one element will not have a partner and will have to be multiplied by itself...
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