Thursday, March 17, 2016

7.5 Due March 17

Difficult)))
Why is there only a right coset of groups?  not a left? I read the note about how rings being abelian give us a + i = i + a and so a + I for rings, but I don't understand the correlation between that and why groups have Ka or K + a...and not a + K...
Oaph!  I get it...transpositions, and compositions... they are set up as the (ab)(cd)(ef)... order matters for groups!

|G| = |K| [G:K]  means that the order of K divides the order of G...  I had to look at that one twice to get that from the theorem...I feel so dumb...

Reflective)))
7.22...7.23....7.24 what great comfort this sentence gives...no need to blog...just sit back and reflect on those sweet theorems regurgitated...

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