# A characterization of 2-knots groups.

Revista Matemática Iberoamericana (1994)

- Volume: 10, Issue: 2, page 221-228
- ISSN: 0213-2230

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topGonzález-Acuña, Francisco. "A characterization of 2-knots groups.." Revista Matemática Iberoamericana 10.2 (1994): 221-228. <http://eudml.org/doc/39454>.

@article{González1994,

abstract = {A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. Artin gave in 1925 ([A]) an algebraic characterization of 1-knot groups. M. Kervaire gave in 1965 ([K]) an algebraic characterization of n-knot groups for n ≥ 3. The problem of characterizing algebraically 2-knot groups has been posed several times (see for example [Su, Problem 4.7]). Ribbon 2-knot groups have been characterized algebraically by Yajima [Y].We will give here a characterization of 2-knot groups in terms of presentations. It has the flavor of Artin's characterization of 1-knot groups. S. Kamada has independently obtained another characterization of 2-knot groups ([Ka]).},

author = {González-Acuña, Francisco},

journal = {Revista Matemática Iberoamericana},

keywords = {Topología algebraica; Grupos de n-anidaciones; Variedad recubridora; Grupo de trenzas; 2-knot groups; closed braids; presentation},

language = {eng},

number = {2},

pages = {221-228},

title = {A characterization of 2-knots groups.},

url = {http://eudml.org/doc/39454},

volume = {10},

year = {1994},

}

TY - JOUR

AU - González-Acuña, Francisco

TI - A characterization of 2-knots groups.

JO - Revista Matemática Iberoamericana

PY - 1994

VL - 10

IS - 2

SP - 221

EP - 228

AB - A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. Artin gave in 1925 ([A]) an algebraic characterization of 1-knot groups. M. Kervaire gave in 1965 ([K]) an algebraic characterization of n-knot groups for n ≥ 3. The problem of characterizing algebraically 2-knot groups has been posed several times (see for example [Su, Problem 4.7]). Ribbon 2-knot groups have been characterized algebraically by Yajima [Y].We will give here a characterization of 2-knot groups in terms of presentations. It has the flavor of Artin's characterization of 1-knot groups. S. Kamada has independently obtained another characterization of 2-knot groups ([Ka]).

LA - eng

KW - Topología algebraica; Grupos de n-anidaciones; Variedad recubridora; Grupo de trenzas; 2-knot groups; closed braids; presentation

UR - http://eudml.org/doc/39454

ER -

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