Finite groups of automorphisms of K3 surfaces and the Mathieu group.

Shigeru Mukai

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On automorphisms of Enriques surfaces.

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Automorphisms of Enriques surfaces which act trivially on the cohomology groups.

Yukihiko Namikawa, Shigeru Mukai (1984)

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Automorphisms of Enriques Surfaces.

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K3 surfaces with a symplectic automorphism of order 11

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Algebraic automorphisms of smooth affine surfaces.

Ted Petrie (1989)

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Fox pairings and generalized Dehn twists

Gwénaël Massuyeau, Vladimir Turaev (2013)

Annales de l’institut Fourier

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We introduce a notion of a Fox pairing in a group algebra and use Fox pairings to define automorphisms of the Malcev completions of groups. These automorphisms generalize to the algebraic setting the action of the Dehn twists in the group algebras of the fundamental groups of surfaces. This work is inspired by the Kawazumi–Kuno generalization of the Dehn twists to non-simple closed curves on surfaces.