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( S 3 , S 6 ) -Amalgams IV

Wolfgang Lempken, Christopher Parker, Peter Rowley (2005)

Rendiconti del Seminario Matematico della Università di Padova

( S 3 , S 6 ) -Amalgams V

Wolfgang Lempken, Christopher Parker, Peter Rowley (2007)

Rendiconti del Seminario Matematico della Università di Padova

( S 3 , S 6 ) -Amalgams VI

Wolfgang Lempken, Christopher Parker, Peter Rowley (2007)

Rendiconti del Seminario Matematico della Università di Padova

( S 3 , S 6 ) -Amalgams VII

Wolfgang Lempken, Christopher Parker, Peter Rowley (2008)

Rendiconti del Seminario Matematico della Università di Padova

1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs

Sebastian Hensel, Piotr Przytycki, Richard C. H. Webb (2015)

Journal of the European Mathematical Society

We describe unicorn paths in the arc graph and show that they form 1-slim triangles and are invariant under taking subpaths. We deduce that all arc graphs are 7-hyperbolic. Considering the same paths in the arc and curve graph, this also shows that all curve graphs are 17-hyperbolic, including closed surfaces.

(2,3)-generation of the groups PSL6(q)

Tabakov, K., Tchakerian, K. (2011)

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).

6-BFC groups

Cliff David, James Wiegold (2006)

Rendiconti del Seminario Matematico della Università di Padova

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