Zobrazeno 1 - 10
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pro vyhledávání: '"Williams, Gerald A."'
Autor:
Williams, Gerald
We consider two families of cyclic presentations and show that, subject to certain conditions on the defining parameters, they are spines of closed 3-manifolds. For the first family, the Whitehead graphs have not previously been observed in this cont
Externí odkaz:
http://arxiv.org/abs/2408.17125
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:
Noferini, Vanni, Williams, Gerald
Let $R$ be a commutative ring and $g(t) \in R[t]$ a monic polynomial. The commutative ring of polynomials $f(C_g)$ in the companion matrix $C_g$ of $g(t)$, where $f(t)\in R[t]$, is called the Companion Ring of $g(t)$. Special instances include the ri
Externí odkaz:
http://arxiv.org/abs/2408.08662
Autor:
Khan, Adam Z., Vaughan, Alayna, Aman, Zachary S., Lazarus, Mark D., Williams, Gerald R., Namdari, Surena
Publikováno v:
In Seminars in Arthroplasty: JSES December 2024 34(4):819-826
Autor:
Goltz, Daniel E., Khan, Adam Z., Cronin, Kevin J., Williams, Gerald R., Romeo, Anthony A., Schlegel, Theodore F., Frankle, Mark A., Abboud, Joseph A.
Publikováno v:
In Journal of Shoulder and Elbow Surgery January 2025 34(1):223-230
Autor:
Williams, Gerald R., Jr.
Publikováno v:
In Journal of Shoulder and Elbow Surgery January 2025 34(1):219-222
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:
Noferini, Vanni, Williams, Gerald
We use results concerning the Smith forms of circulant matrices to identify when cyclically presented groups have free abelianisation and so can be Labelled Oriented Graph (LOG) groups. We generalize a theorem of Odoni and Cremona to show that for a
Externí odkaz:
http://arxiv.org/abs/2109.11463
Autor:
Sanko, Cassandra, Kane, Liam T., Vaughan, Alayna, Ramsey, Matthew L., Williams, Gerald R., Lazarus, Mark D., Namdari, Surena
Publikováno v:
In Journal of Shoulder and Elbow Surgery June 2024 33(6) Supplement:S86-S92
Publikováno v:
In Journal of Shoulder and Elbow Surgery June 2024 33(6):1306-1312