3 citations · 5 across the 12 of their papers we have counts for
4 papers · 1 filter
Fractional Fibonacci groups with an odd number of generators
Ihechukwu Chinyere, Gerald Williams
The Fibonacci groups are known to exhibit significantly different behaviour depending on the parity of . We extend known results for for odd to the family of F…
Perfect Prishchepov groups
Ihechukwu Chinyere, Bernard Oduoku Bainson
We study cyclically presented groups of type to determine when they are perfect. It turns out that to do so, it is enough to consider the Prishchepov groups, so modu…
Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups
Ihechukwu Chinyere, Gerald Williams
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 c…
Hyperbolicity of T(6) Cyclically Presented Groups
Ihechukwu Chinyere, Gerald Williams
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…