Aspherical relative presentations

WA Bogley, SJ Pride - Proceedings of the Edinburgh Mathematical …, 1992 - cambridge.org
A geometric hypothesis is presented under which the cohomology of a group G given by
generators and defining relators can be computed in terms of a group H defined by a …

Tadpole Labelled Oriented Graph groups and cyclically presented groups

J Howie, G Williams - Journal of Algebra, 2012 - Elsevier
We study a class of Labelled Oriented Graph (LOG) group where the underlying graph is a
tadpole graph. We show that such a group is the natural HNN extension of a cyclically …

Groups of Fibonacci type revisited

G Williams - International Journal of Algebra and Computation, 2012 - World Scientific
This article concerns a class of groups of Fibonacci type introduced by Johnson and
Mawdesley that includes Conway's Fibonacci groups, the Sieradski groups, and the Gilbert …

[PDF][PDF] Solving singular equations of length eight over torsion-free groups

M Bibi, S Ali, MS Arif, K Abodayeh - AIMS Mathematics, 2023 - aimspress.com
It was demonstrated by Bibi and Edjvet in [1] that any equation with a length of at most seven
over torsion-free group can be solvable. This corroborates Levin's [2] assertion that any …

[图书][B] Logical implications between different flavors of asphericity

IM Biskup - 2000 - search.proquest.com
In 1941 JHC Whitehead posed the question whether asphericity is a hereditary property for
two-dimensional CW complexes. This question remains unanswered. Out of its study …