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Journal of the London Mathematical Society Advance Access originally published online on March 14, 2008
Journal of the London Mathematical Society 2008 77(3):757-770; doi:10.1112/jlms/jdn010
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© 2008 London Mathematical Society

The automorphism group of the tetrablock

N. J. Young

School of Mathematics
Leeds University
Leeds
LS2 9JT
United Kingdom

The tetrablock is shown to be inhomogeneous and its automorphism group is determined. A type of Schwarz lemma for the tetrablock is proved. The action of the automorphism group is described in terms of a certain natural foliation by complex geodesic discs.

2000 Mathematics Subject Classification 32M12 (primary), 30C80, 93D21 (secondary).

Received August 4, 2007; revised January 22, 2008; published online March 14, 2008.


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