The Wu-Tang Clan's IT Team Lead ([info]fiberpunk) wrote,
@ 2006-09-20 20:23:00
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Dearest Professor
"Classify all groups of order p3, then write explicit formulas for multiplication of elements, particularly when one of them is a factor group of the semidirect product of two cyclic groups of order p^2" my fat sore ass.

Thank you.

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[info]nverzeanu
2006-09-21 04:23 am UTC (link)
What a twunt of a professor.

Is p prime?

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[info]fiberpunk
2006-09-21 05:09 am UTC (link)
Yes.

It breaks down to one of: the semidirect product of Zp against the direct product (Zp x Zp) (via conjugation of elements in the first), the semidirect product of Zp against the cyclic group of order p2 (again via conjugation), or a certain factor group of Zp2 x Zp2, but the individual multiplication rules are nightmares. Oh, and then we're supposed to show that certain of these possibilities are isomorphic to each other depending on the value of p.

It's just so much work for... what? So if it comes up, I can say, "Hey, you know that group you have with 125 elements? I bet it's one of the following..."

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[info]cleotyne
2006-09-26 08:05 pm UTC (link)
Jeepers.

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