
AIM Chat with Bill AbramsBack to Home Page, Chirashree Bhattacharya , Anne Collins , Benjamin Collins , Tom Hoffman , Dennis Keeler, Julianne Rainbolt , Jen Roche , Daniel Shown , Brian Walter , Gordon Williams , Shaochen Yang , Daylene Zielinski . 2:21 PM Russell Blyth: welcome back Daylene Zielinski has declined the invitation to this chat. Julianne Rainbolt: hi all Daniel Shown: hello Chirashree Bhattacharya: hi Tom Hoffman: hi Julianne Rainbolt: QT is not up yet Benjamin Collins: Good afternoon. Gordon Swain has joined this chat. Russell Blyth: VNC *is* up Julianne Rainbolt: vnc address: 165.134.13.231 Edward Moy has joined this chat. Julianne Rainbolt: QT not up yet Julianne Rainbolt: vnc address: 165.134.13.231 Julianne Rainbolt: QT not up Russell Blyth: we can establish short-term separate chats for each group - I will invite the members of each group to a separate chat. Exchange contact info (email and/or screen name). 2:25 PM Julianne Rainbolt: vnc address: 165.134.13.231 Daniel Shown: QT is up at rtsp://165.134.240.35/GAP060711pm1.sdp Russell Blyth: QT up on pm1 Julianne Rainbolt: any QT or Julianne Rainbolt: VNC problesm Julianne Rainbolt: ? Benjamin Collins: Tom and I are already chatting. Russell Blyth: Daylene, QT and VNC are up. Bill Abrams: I got an error when I tried to join the Chat. 2:30 PM Julianne Rainbolt has left this chat. Julianne Rainbolt has joined this chat. Julianne Rainbolt: i'm back Russell Blyth: Daylene, we're setting up separate group chats for a few minutes Benjamin Collins: So somebody is going to put something together in 36 hours? 2:35 PM Benjamin Collins: Whew! Tom Hoffman: No grades? Jen Roche: no way! Russell Blyth: We'll give this a couple more minutes Gordon Swain: I'm getting nothing in QT - is it up? Russell Blyth: then we'll restart with next section Russell Blyth: GS: yes Russell Blyth: ..pm1 Russell Blyth: rtsp://165.134.240.35/GAP060711pm1.sdp Gordon Swain: I'll restart again 2:40 PM Brian Walter: i'm often the troublemaker Brian Walter: i'm the only one on the west coast? sheesh Gordon Williams: Not my fault, hard to find two jobs on the west coast Dennis Keeler: liquid hot MAGMA. (Finger to lip.) Tom Hoffman: I'd take a job on the west coast Russell Blyth: we are going to start section6 Russell Blyth: any QT or VNC problems? Julianne Rainbolt: Gordon S, do you have QT? Brian Walter: daylene still isn't in this chat Julianne Rainbolt: OK, please have her quit AIM 2:45 PM Gordon Swain: I have some sound, but not video. I'll try again Julianne Rainbolt: OK Julianne Rainbolt: Yay Daylene Zielinski: I'm here! Julianne Rainbolt: Yes, that's great Julianne Rainbolt: Do you have QT? 2:50 PM Julianne Rainbolt: QT down for a minute Julianne Rainbolt: will be ..pm2 Julianne Rainbolt: rtsp://165.134.240.35/GAP060711pm2.sdp Julianne Rainbolt: up Daniel Shown: rtsp://165.134.240.35/GAP060711pm2.sdp Julianne Rainbolt: anyone not OK? Tom Hoffman: I only have half a picture Julianne Rainbolt: it will come in, else retry Tom Hoffman: it's all there now Julianne Rainbolt: OK! 2:55 PM Gordon Williams: I know a cludgy way to work with generators a,b and so on that you enter as a and b and so on, is there a non-cludgy way? Gordon Williams: instead of all this f.n stuff? Julianne Rainbolt: What is your cludgy way? Gordon Williams: a:=f.1 Gordon Williams: b:=f.2 Julianne Rainbolt: right, that works Gordon Williams: but symbols don't always seem to carry over to quotients Julianne Rainbolt: right Gordon Williams: so that's cludgy, cause then I have to do it again Gordon Williams: qt dropped Dennis Keeler: qt dropped me too Jen Roche: me too Tom Hoffman: me three Julianne Rainbolt: Should be back Benjamin Collins: Me 2 Bill Abrams: four? Gordon Williams: perhaps I shouldn't have asked that question Brian Walter: yeah - so it seems like a question of changing how GAP represents these elements internally Jen Roche: i'm back Gordon Williams: back Tom Hoffman: back Dennis Keeler: back Bill Abrams: back Tom Hoffman: did we miss something? Gordon Williams: so, can you repeat your discussion about my question? 3:00 PM Gordon Williams: thanks Chirashree Bhattacharya: f.1^-2? Julianne Rainbolt: yes, it actually works Julianne Rainbolt: thanks Julianne Rainbolt: for spotting the typo Brian Walter: we need f.1^-2, not f.2^-2 Julianne Rainbolt: yep Brian Walter: looks good now 3:05 PM Tom Hoffman: qt froze again Gordon Williams: Lists are good: gList:=List([3,6,24,300],n->f/[f.1^n,f.2^2,f.2^-1*f.1^-1*f.2*f.1^2]); List(gList,x->Order(x)); Julianne Rainbolt: yes Julianne Rainbolt: QT seems OK here, anyone else? Gordon Williams: I'm good on qt Julianne Rainbolt: Thanks Julianne Rainbolt: Tom, try restarting QT Tom Hoffman: back up Julianne Rainbolt: good Gordon Williams: just providing as an alternative Gordon Williams: wouldn't use with beginning student Jen Roche: Z_2? Russell Blyth: yes Gordon Williams: Z_2? Doesn't that have order 2? Russell Blyth: the answer to 6.4c Shaochen Yang: S_3 for part b Gordon Swain: A_4? Gordon Williams: ahh, lost track 3:10 PM Jen Roche: D_3 + Z_2? Gordon Williams: D_6 Chirashree Bhattacharya: semidirect prod? Dennis Keeler: http://www.math.usf.edu/~eclark/algctlg/small_groups.htmlhas a long explanation of the 3rd non-abelian group Jen Roche: It's A_4 using "IsomorphismGroups(G,a4);" Gordon Swain: Just a guess - only one I could think of. Gordon Williams: can drag and drop the file onto the terminal window 3:15 PM Gordon Williams: full path will be pasted Anne Collins: works in linux too Julianne Rainbolt: great! Julianne Rainbolt: We're going to restart GAP 3:20 PM Julianne Rainbolt: Stop QT Julianne Rainbolt: will restart with ..pm3 soon Dennis Keeler: FYI, there is some randomness in IsomorphismGroups. I get a different answer each time for IsomorphismGroups(G,AlternatingGroup(4)); Dennis Keeler: Of course all correct, but may confuse students. Tom Hoffman: The randomness is what allows it to work quickly. Anne Collins: well, at least it's not randomly failing against D_6 Daniel Shown: rtsp://165.134.240.35/GAP060711pm3.sdp Daniel Shown: is up 3:25 PM Russell Blyth: anybody having QT or VNC problems? Julianne Rainbolt: Everyone OK Gordon Swain: OK Tom Hoffman: ok here Benjamin Collins has left this chat. Chirashree Bhattacharya: wow! StructureD Russell Blyth: don't let your students know that one Gordon Swain: That was too easy! Dennis Keeler: This is cool: List(AllSmallGroups(12),StructureDescription); Brian Walter: that is cool 3:30 PM Julianne Rainbolt: In case you are wondering, here's what the GAP manual says about left cosets: 3:35 PM Julianne Rainbolt: GAP does not provide left cosets as a separate data type, Julianne Rainbolt: but as the left coset gU consists of exactly the inverses of the elements of the right coset Ug^-1 calculations with left cosets can be emulated using right cosets by inverting the representatives Benjamin Collins has joined this chat. Julianne Rainbolt: welcome back Benjamin Collins: Thanks. What QT are we on? Julianne Rainbolt: video is pm3 3:40 PM Tom Hoffman: Display also works instead of PrintArray Daylene Zielinski: Please do; I would be very interested in that. Russell Blyth: ok daylene will do Russell Blyth: QT is off Julianne Rainbolt: qt up Daniel Shown: rtsp://165.134.240.35/GAP060711pm4.sdp Gordon Swain: Question: If I deefine the factor group using FactorGroup then look at Elements, they are just f1, etc. Any way to get these as coset reps? Russell Blyth: i have not be able to do this - that is why I also use the rightcoset commands in this section 3:45 PM Gordon Swain: but the Table refers to these elements, not the cosets Dennis Keeler: If I understand, the table doesn't refer to f1, f2, etc, but just numbers each element. Gordon Swain: Yes, but how do we know which fn is which coset? Tom Hoffman: The numbers might match the position in the list returned by Elements Gordon Swain: I assumed that the order was the same as Elements 3:50 PM Gordon Swain: I guess it would be a good exercise to tax the poor students Russell Blyth: homework 7.3 - 7.5 3:55 PM Anne Collins: anyone else's audio get really crunchy? Benjamin Collins: It's OK here. Gordon Swain: me too Gordon Williams: ok here Julianne Rainbolt: any questions, comments? 4:00 PM Daylene Zielinski has left this chat. Julianne Rainbolt: qt down Dennis Keeler has left this chat. Chirashree Bhattacharya: see u tomorrow Jen Roche: thanks! Jen Roche has left this chat. Benjamin Collins has left this chat. Chirashree Bhattacharya has left this chat. Tom Hoffman: bye Russell Blyth: Thanks Tom Hoffman has left this chat. Gordon Williams: night Gordon Williams has left this chat. Anne Collins: bye Gordon Swain: What if you define the homom using non generators? Bill Abrams: Thanks, see you tomorrow. Shaochen Yang has left this chat. Julianne Rainbolt: does it fail - let's try it Anne Collins: i bet it fails? Gordon Swain: I tried it and got a failure, but not an error Russell Blyth: Fail - look in VNC Julianne Rainbolt: yes - russell also got fial Julianne Rainbolt: fail not fial Gordon Swain: I tried 3 generators Julianne Rainbolt: did it fail? Gordon Swain: yes Anne Collins: i'm still a bit unsure what we're going for in our groups Bill Abrams: Me too. Anne Collins: are we putting together a demo/worksheet to use with our students? Gordon Swain has left this chat. Brian Walter has left this chat. Russell Blyth: You are doing a first run at something that can turn into a worksheet Julianne Rainbolt: that's ok anne - the goal is to come up with something you could use in one of your classes Russell Blyth: or a demo 4:05 PM Russell Blyth: More important is to do *something* of interest Julianne Rainbolt: once you write up what you come up with, Julianne Rainbolt: send it to us Julianne Rainbolt: then we will show it to everyone Russell Blyth: and to get a first go at using GAP yourself Russell Blyth: it does not have to be polished Anne Collins: but no color on cayley tables, huh? Julianne Rainbolt: go for it Russell Blyth: not in GAP Julianne Rainbolt: color is extra extra credit Julianne Rainbolt: you will see the colored cosets in Finite Group Behavior on friday Anne Collins: 'k! Bill Abrams: Thanks for the clarification. Bill Abrams has left this chat. 4:10 PM Edward Moy has left this chat. Julianne Rainbolt: anne any other questions/comments?
This PREP workshop is made possible by the NSF grant DUE: 0341481