PREP - Professional Enhancement Programs of the MAA



 

Exploring Abstract Algebra with Computer Software

A PREP Workshop

AIM log - Thursday July 1, 10 am - 11:30 am

Russell Blyth: Any questions before we start?
Steve Hennagin: re: 12.2 how does mult order relate to
polynomial
rings and extension fields?
Linda Sundbye: Good morning
Russell Blyth: I sent you the remaining sections by email
Nikolaus Vonessen: Russell, you had already sent us Sections
13
(including the appendix) and 14 yesterday. Any changes in
the sections
you sent us this morning?
Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp and
vnc is the same as yesterday 165.134.131.41
Russell Blyth: No - I hadn't realized I actually sent them
already - but
that's good
10:00 AM
Nora Strasser has joined this chat.
Donna Nonnenkamp: Hi Nora
Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp
Nora Strasser: I'm here.
Donna Nonnenkamp: and vnc is the same as yesterday
165.134.131.41
Nora Strasser: Hi
Russell Blyth: Good morning, all!
Russell Blyth: Any other Q's?
Steve Hennagin: I got your answer, am patient, have another
q: I got
sections 13  14 off the web site yesterday. Were there any
changes?
Russell Blyth: No, I accidentally sent them twice
Steve Hennagin: sorry about the face, I'm new to im
Russell Blyth: :&
Steve Hennagin: you are right: I used ampersand and AIM sent
the face
Kathryn Weld has joined this chat.
10:05 AM
Donna Nonnenkamp: Hi Kathy
Russell Blyth: Hi Kathy
Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp
Kathryn Weld: Hi
Donna Nonnenkamp: and vnc is the same as yesterday
Donna Nonnenkamp: 165.134.131.41
Steve Hennagin: Is Z(4) = Z(2^2) ?
Steve Hennagin: No Sound, or very low volume
Joanne Redden: Something is going on with the sound.
Nora Strasser: Lost sound.
Madeleine Gregoire: no sound
Kathryn Weld: Me too
Russell Blyth: We're checking
10:10 AM
Juli Rainbolt: sound problem stand by
Linda Sundbye: no sound
Dorothy Zeiser: It's back
Steve Hennagin: sound again
Joanne Redden: It's back.
Donna Nonnenkamp: Should be back
Nora Strasser: O.K.
Russell Blyth: Loose connection
Linda Sundbye: have sound
Susan Pustejovsky has joined this chat.
Russell Blyth: Hi Susan
Donna Nonnenkamp: rtsp://165.134.240.35/video0701am1.sdp
Donna Nonnenkamp: for quicktime
Donna Nonnenkamp: the ip for vnc is the same as yesterday
165.134.131.41
Russell Blyth: Juli is continuing with Section 12
Susan Pustejovsky: I'm set thanks
Russell Blyth: Great!
10:15 AM
Nikolaus Vonessen: no sound
Nora Strasser: sound gone.
Linda Sundbye: no sound
Kathryn Weld: Lost sound
Steve Hennagin: no sound
Nikolaus Vonessen: sound is back
Steve Hennagin: can hear again
Steve Hennagin: still confused with explanation, sorry
10:20 AM
Michael Engquist: Which page and which part of Section 12
are you on?
Has this section been updated recently?
Russell Blyth: Page 2, Project.
Michael Engquist: thanks
Russell Blyth: Ignore the wording on what you currently have
Russell Blyth: We will send an updated version today.
Russell Blyth: Fixing the statements of the problems 12.1 -
12.5
Russell Blyth: OK, Steve?
Steve Hennagin: So, how do we change 12.1 and following, if
at all?
Russell Blyth: Wait for the new version via email later
Juli Rainbolt: correct version of 12.1-12.5 on white board
10:25 AM
Nikolaus Vonessen: Would it save time to postpone discussing
12.1
-12.5 until we have the corrected handout?
Nikolaus Vonessen: Yes, we never can see the whiteboard at
once. We
can only see part of a line at once.
Russell Blyth: I'm going to type the questions here
Kathryn Weld: Questions on AIM make sthe most sense.
Russell Blyth: 12.1 Find the degree of the smallest field
containing
Z(2^4)^m over GF(2) for m = 1, 2, ...,10
Russell Blyth: 12.2 Find orders of Z(2^4)^m for m = 1, 2,
..,10
Russell Blyth: Again, Z(2^4)^m means (Z(2^4))^m
Russell Blyth: 12.3 Find the degree of the smallest field
containing
Z(3^3)^m over GF(3) for m= 1, ..., 15
Russell Blyth: 12.4 Find orders of Z(3^3)^m for m = 1, 2,
..,15
10:30 AM
Russell Blyth: 12.5 When will the degree of the extension of
GF(p) to
the field containing Z(p^n)^m and when will this degree be
less than n?
10:35 AM
Steve Hennagin: same when gcd(n, m) = 1?
Nikolaus Vonessen: lost sound
Steve Hennagin: sound Ok
Linda Sundbye: sound ok
Joanne Redden: I've got sound;
Robert Quinn: sound ok
Dorothy Zeiser: sound ok
10:40 AM
Nikolaus Vonessen: Z(p^n)^m has order dividing p^k-1.
Necessarily
k|n
10:45 AM
Russell Blyth: Q's?
10:50 AM
Donna Nonnenkamp: changing tapes .
Russell Blyth: Changing URL
Donna Nonnenkamp: The new url for quicktime is rtsp://
165.134.240.35/video0701am2.sdp
Russell Blyth: Running!
Russell Blyth: Any problems?
Donna Nonnenkamp: Anyone need help?
Nora Strasser: lost sound
Linda Sundbye: no problems
Russell Blyth: Try QT again, Nora - close and reopen
10:55 AM
Donna Nonnenkamp: Middle of page 2 commands
Russell Blyth: AlgebraicExtension
Nikolaus Vonessen: 3
Steve Hennagin: 27, aren't all odd numbers prime?
Nikolaus Vonessen: 3
Nikolaus Vonessen: x^3+2*x+1
11:00 AM
Steve Hennagin: Q: please restate about factoring over F
Kathryn Weld: Cant you just use the F that you defined as
the Algebraic
Extension? Then redefine x and f.
Russell Blyth: You have to define the poly ring first
Steve Hennagin: thank you
Kathryn Weld: Well, I got the same result using the above
commands...?
Steve Hennagin: why do we have to have the poly ring?
Kathryn Weld: We had F already.
Kathryn Weld: But I had to reenter the x definition, and I
had to reenter
f.
Kathryn Weld: Yes, but thats why I had to re enter x and f.
11:10 AM
Nikolaus Vonessen: What does ! mean in the output of
Factors(x^9-x) ?
Michael Engquist: what does the "!" symbol mean?
Kathryn Weld: What does the ! mean, in the output?
Nikolaus Vonessen: My guess is that the ! denotes elements
of the base
field.
11:25 AM
Linda Sundbye: lost quicktime and vnc
Donna Nonnenkamp: You may want to restart your computer.
Linda Sundbye: it came back
Donna Nonnenkamp: good
Susan Pustejovsky: gtg
Donna Nonnenkamp: bye susan
Susan Pustejovsky has left this chat.
11:30 AM
Donna Nonnenkamp: questions?
Juli Rainbolt: Questions? Comments?
Joanne Redden: See you this afternoon.
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This PREP workshop is made possible by the NSF grant DUE: 0341481