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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
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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
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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
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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