Irreducible cyclic presentations of the trivial group

G Havas; Edmund Frederick Robertson

Irreducible cyclic presentations of the trivial group

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We produce families of irreducible cyclic presentations of the trivial group. These families comprehensively answer questions about such presentations asked by Dunwoody and by Edjvet, Hammond, and Thomas. Our theorems are purely theoretical, but their derivation is based on practical computations. We explain how we chose the computations and how we deduced the theorems.

Original language	English
Pages (from-to)	487-490
Number of pages	4
Journal	Experimental Mathematics
Volume	12
Publication status	Published - 2003

Keywords

cyclic presentations
trivial group
ANDREWS-CURTIS CONJECTURE

Cite this

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title = "Irreducible cyclic presentations of the trivial group",

abstract = "We produce families of irreducible cyclic presentations of the trivial group. These families comprehensively answer questions about such presentations asked by Dunwoody and by Edjvet, Hammond, and Thomas. Our theorems are purely theoretical, but their derivation is based on practical computations. We explain how we chose the computations and how we deduced the theorems.",

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author = "G Havas and Robertson, {Edmund Frederick}",

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journal = "Experimental Mathematics",

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AU - Havas, G

AU - Robertson, Edmund Frederick

PY - 2003

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N2 - We produce families of irreducible cyclic presentations of the trivial group. These families comprehensively answer questions about such presentations asked by Dunwoody and by Edjvet, Hammond, and Thomas. Our theorems are purely theoretical, but their derivation is based on practical computations. We explain how we chose the computations and how we deduced the theorems.

AB - We produce families of irreducible cyclic presentations of the trivial group. These families comprehensively answer questions about such presentations asked by Dunwoody and by Edjvet, Hammond, and Thomas. Our theorems are purely theoretical, but their derivation is based on practical computations. We explain how we chose the computations and how we deduced the theorems.

KW - cyclic presentations

KW - trivial group

KW - ANDREWS-CURTIS CONJECTURE

M3 - Article

SN - 1944-950X

VL - 12

SP - 487

EP - 490

JO - Experimental Mathematics

JF - Experimental Mathematics

ER -

Irreducible cyclic presentations of the trivial group

Abstract

Keywords

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