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We obtain analogues of classical results on automorphism groups of holomorphic fiber bundles, in the setting of group schemes. Also, we establish a lifting property of the connected automorphism group...
On solvability of the automorphism group of a finite-dimensional algebra
solvability of the automorphism group finite-dimensional algebra
2011/1/17
Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection.