[GAP Forum] Normal subgroups of unit group of group algebra FD_8, for the field F with 4 elements

[Stefan Kohl]

As far as I see, your group u is a 2-step nilpotent group of order 2^14 * 3, which suggests that it has quite a lot of normal subgroups. So you may need at least some patience, even if you convert the group into a pc group first in order to speed up the computation.


Best regards,


     Stefan Kohl

________________________________
From: Surinder Kaur <surinder.kaur at iitrpr.ac.in>
Sent: Saturday, February 9, 2019 8:43:26 AM
To: forum at gap-system.org
Subject: [GAP Forum] Normal subgroups of unit group of group algebra FD_8, for the field F with 4 elements

Dear all
Is there any way to get all the normal subgroups of the normalized unit
group V(FD_8), where FD_8 is the group ring of the dihedral group D_8 and F
is the field with 4 elements. I tried the following straight forward way
but it's not working.


g:=DihedralGroup(8);;
f:=GF(4);;
fg:=GroupRing(f,g);;
e:=Identity(fg);;
u:=Units(fg);;
h:=NormalSubgroups(u);;
Print(h, "\n");
--
*Regards*
*Surinder Kaur*
*Research scholar  *
*Department of Mathematics *
*IIT Ropar*
_______________________________________________
Forum mailing list
Forum at gap-system.org
https://mail.gap-system.org/mailman/listinfo/forum