most citedThe infinite Fibonacci groups and relative asphericity

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2019

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…

math.GR2017

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…

math.GR2017★ 8 cited

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…