8 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
On the Isoperimetric functions of a class of Artin Groups
Arye Juhasz
We find a polynomial (n^6) isoperimetric function for Artin groups, the defining graph of which contains no edges labelled by 3. This in particular shows that even Artin groups hav…
One-relator quotients of Partially Commutative Groups
Andrew J. Duncan, Arye Juhász
We generalise a key result of one-relator group theory, namely Magnus's Freiheitssatz, to partially commutative groups, under sufficiently strong conditions on the relator. The mai…
Note on residual finiteness of Artin groups
Luis Paris, Ruben Blasco-Garcia, Arye Juhasz
Let be an Artin group. A partition of the set of standard generators of is called admissible if, for all , , there is at most o…
The infinite Fibonacci groups and relative asphericity
M. Edjvet, A. Juhasz
We prove that the generalised Fibonacci group F(r,n) is infinite for (r,n) in {(7 + 5k,5), (8 + 5k,5)} where k is greater than or equal to 0. This together with previously known re…