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On generalized M * - groups.

Ikikardes, Sebahattin, Sahin, Recep (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On geometric convergence of discrete groups

Shihai Yang (2014)

Czechoslovak Mathematical Journal

One of the basic questions in the Kleinian group theory is to understand both algebraic and geometric limiting behavior of sequences of discrete subgroups. In this paper we consider the geometric convergence in the setting of the isometric group of the real or complex hyperbolic space. It is known that if Γ is a non-elementary finitely generated group and ρ i : Γ SO ( n , 1 ) a sequence of discrete and faithful representations, then the geometric limit of ρ i ( Γ ) is a discrete subgroup of SO ( n , 1 ) . We generalize this result by...

On graph products of automatic monoids

A. Veloso Da Costa (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

The graph product is an operator mixing direct and free products. It is already known that free products and direct products of automatic monoids are automatic. The main aim of this paper is to prove that graph products of automatic monoids of finite geometric type are still automatic. A similar result for prefix-automatic monoids is established.

On graph products of automatic monoids

A. Veloso da Costa (2010)

RAIRO - Theoretical Informatics and Applications

The graph product is an operator mixing direct and free products. It is already known that free products and direct products of automatic monoids are automatic. The main aim of this paper is to prove that graph products of automatic monoids of finite geometric type are still automatic. A similar result for prefix-automatic monoids is established.

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