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sniffnoyI was pretty sure that last night they were supposed to decided on the T-shirt quotes, and that they were doing so in a secret meeting somewhere - especially since I had a last minute one to submit, and Connie went and called one of them up on his cellphone so I could repeat it, and said she wasn't allowed to say where they had gone. Regardless, they were still asking for them today.
So as for this last-minute quote... so ADan is doing his Algebra set, and he wants to prove that Z8×Z2 is not isomorhpic to Z4×Z4. Connie and I are also sitting there. Actually, at first he thought they were isomorphic and was trying to find an isomorphism until Connie finally told him they weren't. So, he's trying to prove that they're not. "It's going to be order, isn't it?" Rather than just answering that, I say, "Just look at it, you should see." But a few moments later:
ADan: Oh! Of course! Z8×Z2 has 2 identities, while Z4×Z4 only has 1!
Connie immediately responded with "How many groups do you know that have more than one identity?!"
Yay, so after a night of thinking my minimality proof for my lab was utterly broken and trying to find a new one, I find today that in fact it does work if I just change a "least" to a "greatest". (And split the proof into two cases.)
Yay, tomorrow Keith Conrad will do a guest lecture!
I think I had something else to write, but I forgot it.
-Sniffnoy
So as for this last-minute quote... so ADan is doing his Algebra set, and he wants to prove that Z8×Z2 is not isomorhpic to Z4×Z4. Connie and I are also sitting there. Actually, at first he thought they were isomorphic and was trying to find an isomorphism until Connie finally told him they weren't. So, he's trying to prove that they're not. "It's going to be order, isn't it?" Rather than just answering that, I say, "Just look at it, you should see." But a few moments later:
ADan: Oh! Of course! Z8×Z2 has 2 identities, while Z4×Z4 only has 1!
Connie immediately responded with "How many groups do you know that have more than one identity?!"
Yay, so after a night of thinking my minimality proof for my lab was utterly broken and trying to find a new one, I find today that in fact it does work if I just change a "least" to a "greatest". (And split the proof into two cases.)
Yay, tomorrow Keith Conrad will do a guest lecture!
I think I had something else to write, but I forgot it.
-Sniffnoy
