How automorphism groups reveal Ulm invariants

  title={How automorphism groups reveal Ulm invariants},
  author={Jutta Hausen},
Abstract For any group Γ and any integer k ⩾ 0 a characteristic subgroup Ψ k ( Γ ) is defined having the following significance. If Γ is the automorphism group of a reduced abelian p -group, p ⩾ 5, whose k th Ulm invariant is f k then Ψ k ( Γ ) ⩽ Ψ k +1 ( Γ ) and Ψ k+1 (Γ) Ψ k (Γ) is the full (either general or projective) linear group of degree f k over the prime field of characteristic p ). 


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