The concept of asphericity for relative group presentations was introduced twenty five years
ago. Since then, the subject has advanced and detailed asphericity classifications have …

We study a class of two-generator two-relator groups, denoted J_n (m, k) J n (m, k), that arise
in the study of relative asphericity as groups satisfying a transitional curvature condition …

A group defined by a finite presentation with cyclic symmetry admits a shift automorphism
that is periodic and word-length preserving. It is shown that if the presentation is …

We investigate asphericity of the relative group presentation< G, t∣ atbtctdtet= 1> and prove
it aspherical provided thesubgroup of G generated by ab− 1, bc− 1, cd− 1, de− 1 is neither …

We use Klyachko's methods [A funny property of sphere and equations over groups, Comm.
in Alg. 21 (1993) 2555--2575](see also Fenn-Rourke, L'Enseignment Math. 42 (1996) 49--74 …

We prove that the generalised Fibonacci group F (r, n) is infinite for (r, n)∈{(7+ 5 k, 5),(8+ 5
k, 5): k⩾ 0}. This together with previously known results yields a complete classification of …

We classify cyclically presented groups of the form G= G n⁢(x 0⁢ xj⁢ xk⁢ xl) for finiteness
and, modulo two unresolved cases, we classify asphericity for the underlying presentations …

ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS Page 1
International Journal of Algebra and Computation Vol. 19, No. 2 (2009) 159–189 c© World …

July 29, 2003 19:15 WSPC/132-IJAC 00143 ON THE ASPHERICITY OF RELATIVE GROUP
PRESENTATIONS OF ARBITRARY LENGTH 1. Introduction A Page 1 July 29, 2003 19:15 …

ON THE ASPHERICITY OF A FAMILY OF POSITIVE RELATIVE GROUP PRESENTATIONS
Page 1 Proceedings of the Edinburgh Mathematical Society (2017) 60, 545–564 DOI:10.1017/S0013091516000419 …