Výsledky vyhledávání - "Maurice Chiodo"

Torsion, torsion length and finitely presented groups

Autor: Maurice Chiodo, Rishi Vyas

We show that a construction by Aanderaa and Cohen used in their proof of the Higman Embedding Theorem preserves torsion length. We give a new construction showing that every finitely presented group is the quotient of some $C'(1/6)$ finitely presente

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https://www.repository.cam.ac.uk/handle/1810/280509

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A Note on Torsion Length

Autor: Maurice Chiodo, Rishi Vyas

Publikováno v: Comm. in Algebra

We construct a 2-generator recursively presented group with infinite torsion length. We also explore the construction in the context of solvable and word-hyperbolic groups.
10 pages. This is the version submitted for publication

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https://doi.org/10.1080/00927872.2014.974249

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THE SUBGROUP IDENTIFICATION PROBLEM FOR FINITELY PRESENTED GROUPS

Autor: Maurice Chiodo

Publikováno v: International Journal of Algebra and Computation. 23:673-684

We introduce the subgroup identification problem, and show that there is a finitely presented group G for which it is unsolvable, and that it is uniformly solvable in the class of finitely presented locally Hopfian groups. This is done as an investig

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https://doi.org/10.1142/s021819671350015x

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Coset Intersection Graphs, and Transversals as Generating Sets for Finitely Generated Groups

Autor: Jack Button, Maurice Chiodo, Mariano Zeron-Medina Laris

Publikováno v: Trends in Mathematics ISBN: 9783319054872

Definition 2. Let G be a group and H;K subgroups of G. We define the coset intersection graph G H;K to be a graph with vertex set consisting of all left cosets of H .fliH gi2I / together with all right cosets of K .fKrj gj2J /, where I , J are index

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https://doi.org/10.1007/978-3-319-05488-9_5

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Transversals as generating sets in finitely generated groups

Autor: Jack Button, Mariano Zeron-Medina Laris, Maurice Chiodo

We explore transversals of finite index subgroups of finitely generated groups. We show that when $H$ is a subgroup of a rank $n$ group $G$ and $H$ has index at least $n$ in $G$ then we can construct a left transversal for $H$ which contains a genera

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Coset intersection graphs for groups

Autor: Mariano Zeron-Medina Laris, Maurice Chiodo, Jack Button

Publikováno v: Amer. Math. Monthly

Let H, K be subgroups of G. We investigate the intersection properties of left and right cosets of these subgroups.
Comment: 4 pages

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On torsion in finitely presented groups

Autor: Maurice Chiodo

We give a uniform construction that, on input of a recursive presentation $P$ of a group, outputs a recursive presentation of a torsion-free group, isomorphic to $P$ whenever $P$ is itself torsion-free. We use this to re-obtain a known result, the ex

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http://arxiv.org/abs/1107.1489

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Finitely annihilated groups

Autor: Maurice Chiodo

Publikováno v: Bull. Austral. Math.Soc.

We say a group is finitely annihilated if it is the set-theoretic union of all its proper normal finite index subgroups. We investigate this new property, and observe that it is independent of several other well known group properties. For finitely g

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