## 45 Reputation

17 years, 172 days

## Group Theory Derived Series...

Maple

Hallo

Use DrawSubgroupLattice for G:=Symm(4) then

A:=DerivedSeries(G);

Drawing this Series there are red marked 30,29,21,1.

But why not 8 or 9 or 10 which are between 21 and 1?

Best regards

Kurt Ewald

## GroupTheory nilpotent and cyclic...

Hello,

in Kurzweil und Stellmacher "Theorie der endlichen Gruppen" page 97, Exercice 3 I have read

Is G nilpotent then G is cyclic.

I have found that if G is nilpotent it must not be cyclic.

Can anybody tell me whether I am right or not?

Best Regards

Kurt Ewald

## GroupTheory Order and Degree...

Maple

Hallo,

how can I  construct a Permutationgroup with given GroupOrder and Degree.

for instance: GroupOrder 12 and Degree 5, I found by accident

G:=<(1,2,3),(1,5,2)>

Best Regards

Kurt Ewald

## GroupTheory Stabiliser...

Maple

what conditions are necessary that a group G has stabilisers?

## GroupTheory Automorphism...

Maple

How can I get the Automorphism Group of a group G as a Permutationgroup?

Best regards

Kurt Ewald

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