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

Vassily O. Manturov; J. Wu

doi:10.1142/S0218216518420130

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

Vassily O. Manturov, J. Wu

Лаборатория топологии и динамики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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 Gκ_n, 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.

Язык оригинала	английский
Номер статьи	1842013
Число страниц	5
Журнал	Journal of Knot Theory and its Ramifications
Том	27
Номер выпуска	13
DOI	https://doi.org/10.1142/S0218216518420130
Состояние	Опубликовано - 1 ноя 2018

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10.1142/S0218216518420130

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