[GAP Forum] Information about p-modular group algebra FG in GAP

[Surinder Kaur]

Dear Forum

I wanted to get some information in GAP about the elements of augmentation
1 in the group algebra FG, where F is a Galois field with 3 elements and G
is non-abelian of order 3^3.

I am trying this way:

g:=SmallGroup(3^3,3);;
f:=GF(3);;
fg:=GroupRing(f,g);;
e:=Identity(fg);;
m:=MinimalGeneratingSet(g);;
v:=Filtered(fg,x->Augmentation(x) = Z(3)^0);;
Print (v[1], "\n");


But I am getting that "it has reached pre-set memory limit".

How can I get the elements of v. Any suggestion will be highly appreciated.

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*Regards**Surinder Kaur*
*Research scholar  *
*Department of Mathematics *
*IIT Ropar*