PREP - Professional Enhancement Programs of the MAA



 

Exploring Abstract Algebra with Computer Software

A PREP Workshop

AIM log - Wednesday June 30, 2:30 pm - 4:00 pm

Juli Rainbolt: answer to exercise 8.4?
Joanne Redden: phi(n)
Dorothy Zeiser: phi(n0
Steve Hennagin: phi(n), what else?
Juli Rainbolt:
Juli Rainbolt: 9.3 and 9.4 answers?
Kathryn Weld has joined this chat.
Steve Hennagin: m^2 congruent to m mod n
Donna Nonnenkamp: rtsp://165.134.240.35/video0630pm1.sdp
Russell Blyth: Yes
Donna Nonnenkamp: vnc is the same as this morning
Russell Blyth: need f(xy) = f(x)f(y)
Donna Nonnenkamp: 165.134.131.41
Russell Blyth: QT problems?
Blake Boursaw has joined this chat.
Donna Nonnenkamp: Blake HI rtsp://165.134.240.35/
video0630pm1.sdp
Donna Nonnenkamp: for quicktime
Donna Nonnenkamp: vnc is the same as this morning
Donna Nonnenkamp: 165.134.131.41
Michael Engquist has joined this chat.
Blake Boursaw: got it, thx
Russell Blyth: QT and VNC are up
Donna Nonnenkamp: Michael hi
Donna Nonnenkamp: rtsp://165.134.240.35/video0630pm1.sdp
Michael Engquist: Hi, please give me id's
Donna Nonnenkamp: for quicktime
Russell Blyth: VNC the same
Donna Nonnenkamp: vnc is the same as this morning
Donna Nonnenkamp: 165.134.131.41
2:35 PM
Russell Blyth: www.central.edu/algebraresources
2:45 PM
Susan Pustejovsky has joined this chat.
Russell Blyth: QT and VNC are up
Donna Nonnenkamp: Hi Susan
Donna Nonnenkamp: rtsp://165.134.240.35/video0630pm1.sdp
Russell Blyth: VNC 165.134.131.41
Russell Blyth: as this morning
Steve Hennagin: isn't this Euler's theorem?
Russell Blyth: Yes
2:50 PM
Russell Blyth: Q's?
2:55 PM
Steve Hennagin: all either 1 or -1
Russell Blyth:
Juli Rainbolt: yes 1,0,-1
Steve Hennagin: no 2 for 106, which is next?
Blake Boursaw: I tried t^1000 -1
Blake Boursaw: It gave up
Steve Hennagin: it is a great problem: I have friend who
will enjoy this
question
3:00 PM
Blake Boursaw: How do you increase "permitted memory" if you
really
want to do long calculations?
Joanne Redden: Bob has always dealt with that.
Nora Strasser has left this chat.
Steve Hennagin: you can also change the amount of memory in
the
start-up script/batch file
Michael Engquist: Are you going to talk about any of the GAP
packages?
3:05 PM
Russell Blyth: switching tapes
Donna Nonnenkamp: WE are changing tapes
Juli Rainbolt: shut down quicktime - keep our fingers
crossed
Juli Rainbolt: pm2.sdp
Steve Hennagin: just checked the gap.bat file: it has a
switch -m 14m
which might be the memory size (for windows)
Juli Rainbolt: Starting QT again
Juli Rainbolt: Steve - that's likely
Steve Hennagin: change the 14m to whatever you want and
restart gap
Nikolaus Vonessen: qt works for me.
Donna Nonnenkamp: rtsp://165.134.240.35/video0630pm2.sdp is
the
new URL for QT
Blake Boursaw: Thanks Steve
Juli Rainbolt: OK, I waved
Donna Nonnenkamp: pm2 not pm1
Steve Hennagin: you are coming loud and clear
Juli Rainbolt: Any probs?
Kathryn Weld: All is fine.
3:10 PM
Nikolaus Vonessen has left this chat.
Nikolaus Vonessen has joined this chat.
Donna Nonnenkamp: Nikolaus is everything working ok?
Nikolaus Vonessen: yes. I accidentally quit aim.
Donna Nonnenkamp: good
3:15 PM
Juli Rainbolt: Any questions?
3:20 PM
Steve Hennagin: p^2+p+1 perhaps?
3:25 PM
Russell Blyth: but why?
Nikolaus Vonessen: (p^3-1)/(p-1)
Madeleine Gregoire: Not hearing anything.
Russell Blyth: batteries are fine
Steve Hennagin: hearing Ok here
Russell Blyth: madeleine - restart QT
Donna Nonnenkamp: Madeline - let us know if you are still
having
problems hearing us
Madeleine Gregoire: Back on
Donna Nonnenkamp: good
Russell Blyth: good
3:30 PM
Robert Quinn has left this chat.
Blake Boursaw: It's the same number as before because the
"normal
vector" map gives a one-to-one correspondence.
Juli Rainbolt: Questions?
3:35 PM
Robert Quinn went offline before accepting your invitation.
3:40 PM
Robert Quinn has joined this chat.
Russell Blyth: OK!
Robert Quinn: thanks
Donna Nonnenkamp: Hi Robert
Donna Nonnenkamp: Is all working ok?
Robert Quinn: yes, thank you
3:50 PM
Russell Blyth: Are there questions, or open for discussion
Nikolaus Vonessen: In 12.1, don't you want to compute the
degree of
the smallest field extension of GF(2) containing (Z(2^4))^m
?
Juli Rainbolt: Z((2^4)^m)
Robert Quinn: In AlgebraicExtension(GF(2), f), how do you
know which
root is being adjoined?
Russell Blyth: It does not matter - they are algebraically
euqivalent
Russell Blyth: equivalent
Robert Quinn: so it doesn't matter, adjoining one, gives you
all of them
in the field extension?
Russell Blyth: Not nec. a splitting field
3:55 PM
Robert Quinn: ok, thanks
Steve Hennagin: how to find the factors of our f in the
extension field?
Nikolaus Vonessen: I have only intermittent sound.
4:00 PM
Russell Blyth: Final Q's?
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This PREP workshop is made possible by the NSF grant DUE: 0341481