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Plans’ Periodicity Theorem for Jacobian of Circulant Graphs Научная публикация

Журнал

Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362

Вых. Данные

Год: 2021, Том: 103, Номер: 3, Страницы: 139-142 Страниц : 4 DOI: 10.1134/S1064562421030121

Авторы

Mednykh A.D. ^1,2 , Mednykh I.A. ^1,2

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Plans’ theorem states that, for odd n, the first homology group of the n-fold cyclic covering of the three-dimensional sphere branched over a knot is the direct product of two copies of an Abelian group. A similar statement holds for even n. In this case, one has to factorize the homology group of n-fold covering by the homology group of two-fold covering of the knot. The aim of this paper is to establish similar results for Jacobians (critical group) of a circulant graph. Moreover, it is shown that the Jacobian group of a circulant graph on n vertices reduced modulo a given finite Abelian group is a periodic function of n. © 2021 Pleiades Publishing, Ltd.

Mednykh A.D. , Mednykh I.A.
Plans’ Periodicity Theorem for Jacobian of Circulant Graphs
Doklady Mathematics. 2021. V.103. N3. P.139-142. DOI: 10.1134/S1064562421030121 WOS Scopus OpenAlex

Web of science:	WOS:000692489600010
Scopus:	2-s2.0-85114041719
OpenAlex:	W3197086787

БД	Цитирований
Scopus	3
OpenAlex	4
Web of science	2