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pro vyhledávání: '"Chinyere, Ihechukwu"'
We consider the cyclically presented groups defined by cyclic presentations with $2m$ generators $x_i$ whose relators are the $2m$ positive length three relators $x_ix_{i+1}x_{i+m-1}$. We show that they are hyperbolic if and only if $m\in \{1,2,3,6,9
Externí odkaz:
http://arxiv.org/abs/2408.09903
Autor:
Chinyere, Ihechukwu, Williams, Gerald
A cyclic presentation of a group is a presentation with an equal number of generators and relators that admits a particular cyclic symmetry. We characterise the orientable, non-orientable, and redundant cyclic presentations and obtain concise refinem
Externí odkaz:
http://arxiv.org/abs/2112.10538
Autor:
Chinyere, Ihechukwu, Williams, Gerald
Groups defined by presentations for which the components of the corresponding star graph are the incidence graphs of generalized polygons are of interest as they are small cancellation groups that - via results of Edjvet and Vdovina - are fundamental
Externí odkaz:
http://arxiv.org/abs/2105.06204
Autor:
Chinyere, Ihechukwu, Williams, Gerald
The Fibonacci groups $F(n)$ are known to exhibit significantly different behaviour depending on the parity of $n$. We extend known results for $F(n)$ for odd $n$ to the family of Fractional Fibonacci groups $F^{k/l}(n)$. We show that for odd $n$ the
Externí odkaz:
http://arxiv.org/abs/2011.03378
Publikováno v:
Volume 588, 15 December 2021, Pages 515-532
We study cyclically presented groups of type $\mathfrak{F}$ to determine when they are perfect. It turns out that to do so, it is enough to consider the Prishchepov groups, so modulo a certain conjecture, we classify the perfect Prishchepov groups $P
Externí odkaz:
http://arxiv.org/abs/2010.13000
Autor:
Chinyere, Ihechukwu, Williams, Gerald
Building on previous results concerning hyperbolicity of groups of Fibonacci type, we give an almost complete classification of the (non-elementary) hyperbolic groups within this class. We are unable to determine the hyperbolicity status of precisely
Externí odkaz:
http://arxiv.org/abs/2008.08986
Autor:
Chinyere, Ihechukwu, Williams, Gerald
We consider groups defined by cyclic presentations where the defining word has length three and the cyclic presentation satisfies the T(6) small cancellation condition. We classify when these groups are hyperbolic. When combined with known results, t
Externí odkaz:
http://arxiv.org/abs/2006.09018
Autor:
Chinyere, Ihechukwu
Howie and Duncan observed that a word in a free product with length at least two and which is not a proper power can be decomposed as a product of two cyclic subwords each of which is uniquely positioned. Using this property, they proved various impo
Externí odkaz:
http://arxiv.org/abs/1804.05325
Autor:
Chinyere, Ihechukwu, Williams, Gerald
Publikováno v:
In Journal of Combinatorial Theory, Series A August 2022 190
Autor:
Chinyere, Ihechukwu, Williams, Gerald
Publikováno v:
In Topology and its Applications 1 May 2022 312