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72,573
The automorphism group of the tetrablock
- Journal of the London Mathematical Society
"... Abstract. 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. 1. ..."
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Cited by 13 (2 self)
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Abstract. 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. 1.
on automorphism groups of networks
, 2008
"... We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric. We relate automorphism group structure to network topology and discuss generic for ..."
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We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric. We relate automorphism group structure to network topology and discuss generic
Geometric Automorphism Groups of Graphs ⋆
"... Abstract. Constructing symmetric drawings of graphs is NP-hard. In this paper, we present a new method for drawing graphs symmetrically based on group theory. More formally, we define an n-geometric automorphism group as a subgroup of the automorphism group of a graph that can be displayed as symmet ..."
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Cited by 1 (0 self)
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Abstract. Constructing symmetric drawings of graphs is NP-hard. In this paper, we present a new method for drawing graphs symmetrically based on group theory. More formally, we define an n-geometric automorphism group as a subgroup of the automorphism group of a graph that can be displayed
THE AUTOMORPHISM GROUP OF TORIC
, 705
"... Abstract. We prove that the automorphism group of a toric Deligne-Mumford stack is isomorphic to the 2-group associated to the stacky fan. 1. ..."
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Abstract. We prove that the automorphism group of a toric Deligne-Mumford stack is isomorphic to the 2-group associated to the stacky fan. 1.
On the automorphism groups of hyperbolic manifolds
- J. Reine Angew. Math
"... We show that there does not exist a Kobayashi hyperbolic complex manifold of dimension n ̸ = 3, whose group of holomorphic automorphisms has dimension n 2 + 1 and that, if a 3-dimensional connected hyperbolic complex manifold has automorphism group of dimension 10, then it is holomorphically equival ..."
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Cited by 11 (8 self)
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We show that there does not exist a Kobayashi hyperbolic complex manifold of dimension n ̸ = 3, whose group of holomorphic automorphisms has dimension n 2 + 1 and that, if a 3-dimensional connected hyperbolic complex manifold has automorphism group of dimension 10, then it is holomorphically
THE AUTOMORPHISM GROUP OF ACCESSIBLE GROUPS
, 2008
"... In this article, we study the outer automorphism group of a group G decomposed as a finite graph of group with finite edge groups and finitely generated vertex groups with at most one end. We show that Out(G) is essentially obtained by taking extensions of relative automorphism groups of vertex gro ..."
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Cited by 4 (0 self)
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In this article, we study the outer automorphism group of a group G decomposed as a finite graph of group with finite edge groups and finitely generated vertex groups with at most one end. We show that Out(G) is essentially obtained by taking extensions of relative automorphism groups of vertex
Tree Actions of Automorphism Groups
- J. Group Theory
"... We introduce conditions on a group action on a tree that are sufficient for the action to extend to the automorphism group. We apply this to two different classes of one-relator groups: certain Baumslag-Solitar groups and one-relator groups with centre. In each case we derive results about the autom ..."
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Cited by 15 (0 self)
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We introduce conditions on a group action on a tree that are sufficient for the action to extend to the automorphism group. We apply this to two different classes of one-relator groups: certain Baumslag-Solitar groups and one-relator groups with centre. In each case we derive results about
Results 1 - 10
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72,573