Timeline for Calculating cohomology group $H^3(point group,\mathbb{Z})$ using GAP program
Current License: CC BY-SA 4.0
10 events
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Feb 4 at 16:03 | comment | added | Graham Ellis | Seems to work for me. gap> x:=207;;GroupCohomology(PointGroup(SpaceGroup(3,x)),3);TimeToString(time); [ 2 ] "0.057 sec." and gap> x:=210;;GroupCohomology(PointGroup(SpaceGroup(3,x)),3); TimeToString(time); [ 2, 2 ] "0.089 sec." | |
May 10, 2018 at 22:34 | history | edited | Xu Yang | CC BY-SA 4.0 |
edited body
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Feb 9, 2018 at 14:19 | vote | accept | Xu Yang | ||
Feb 9, 2018 at 7:29 | history | edited | Martin Sleziak | CC BY-SA 3.0 |
code formatting + added top-level tag
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Feb 9, 2018 at 6:10 | answer | added | Ali Caglayan | timeline score: 3 | |
Feb 9, 2018 at 5:30 | comment | added | Ali Caglayan | Ok so I have managed to find the corresponding abstract groups for the point groups here. Looking through I do not see anything too difficult. GAP should be able to do most of these but if not you can compute them by hand using the Kunneth Formula for group cohomology. (For a non-mathematician this may be slightly daunting however). I will see what I can do. | |
Feb 9, 2018 at 5:06 | history | edited | Xu Yang | CC BY-SA 3.0 |
deleted 6 characters in body
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Feb 9, 2018 at 5:03 | comment | added | Xu Yang | Hi Ali. Could you please send me the link to the literatures collecting cohomological group of those point groups? I tried and didn't find one. I think it might be that mathematicians are not well-motivated to study them. | |
Feb 9, 2018 at 4:51 | comment | added | Ali Caglayan | Here is a table of the point groups. All those groups will have documented group cohomology it should not be too hard to find. I find understanding the notation to be the most challenging part but as this is your field you should be ok. You want to look up the proper name for the abstract group for each of these groups when searching results. | |
Feb 9, 2018 at 1:25 | history | asked | Xu Yang | CC BY-SA 3.0 |