Gκn-groups for simplicial complexes and the word problem on G2 (K)

Standard

Gκ_n-groups for simplicial complexes and the word problem on G² (K). / Manturov, Vassily O.; Wu, J.

In: Journal of Knot Theory and its Ramifications, Vol. 27, No. 13, 1842013, 01.11.2018.

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

Harvard

Manturov, VO & Wu, J 2018, 'Gκ_n-groups for simplicial complexes and the word problem on G² (K)', Journal of Knot Theory and its Ramifications, vol. 27, no. 13, 1842013. https://doi.org/10.1142/S0218216518420130

APA

Manturov, V. O., & Wu, J. (2018). Gκ_n-groups for simplicial complexes and the word problem on G² (K). Journal of Knot Theory and its Ramifications, 27(13), [1842013]. https://doi.org/10.1142/S0218216518420130

Vancouver

Manturov VO, Wu J. Gκ_n-groups for simplicial complexes and the word problem on G² (K). Journal of Knot Theory and its Ramifications. 2018 Nov 1;27(13):1842013. doi: 10.1142/S0218216518420130

Author

Manturov, Vassily O. ; Wu, J. / Gκ_n-groups for simplicial complexes and the word problem on G² (K). In: Journal of Knot Theory and its Ramifications. 2018 ; Vol. 27, No. 13.

BibTeX

@article{688a3bd644f643979016c676ca314f57,

title = "Gκn-groups for simplicial complexes and the word problem on G2 (K)",

abstract = "We introduce a natural Gnk-Type construction of groups on any given simplicial complex K called Gk(K) as a generalization of the notion of groups Gκn, which gives a functor from the category of simplicial complexes and injective simplicial maps to the category of groups. We prove that the word problem on G2 (K) is solvable.",

keywords = "Coxeter groups, groups Gκ-kgroups G (K)simplicial complexes, groups G(n)(k), groups G(k) (K), simplicial complexes",

author = "Manturov, {Vassily O.} and J. Wu",

note = "Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Company.",

year = "2018",

month = nov,

day = "1",

doi = "10.1142/S0218216518420130",

language = "English",

volume = "27",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "13",

}

RIS

TY - JOUR

T1 - Gκn-groups for simplicial complexes and the word problem on G2 (K)

AU - Manturov, Vassily O.

AU - Wu, J.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - We introduce a natural Gnk-Type construction of groups on any given simplicial complex K called Gk(K) as a generalization of the notion of groups Gκn, which gives a functor from the category of simplicial complexes and injective simplicial maps to the category of groups. We prove that the word problem on G2 (K) is solvable.

AB - We introduce a natural Gnk-Type construction of groups on any given simplicial complex K called Gk(K) as a generalization of the notion of groups Gκn, which gives a functor from the category of simplicial complexes and injective simplicial maps to the category of groups. We prove that the word problem on G2 (K) is solvable.

KW - Coxeter groups

KW - groups Gκ-kgroups G (K)simplicial complexes

KW - groups G(n)(k)

KW - groups G(k) (K)

KW - simplicial complexes

UR - http://www.scopus.com/inward/record.url?scp=85057715020&partnerID=8YFLogxK

U2 - 10.1142/S0218216518420130

DO - 10.1142/S0218216518420130

M3 - Article

AN - SCOPUS:85057715020

VL - 27

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 13

M1 - 1842013

ER -

ID: 18073667