Author | Sergey, Kolesnikov | |
Author | Vladimir, Leontiev | |
Author | Georgy, Egorychev | |
Accessioned Date | 2021-08-13T09:28:26Z | |
Available Date | 2021-08-13T09:28:26Z | |
Issued Date | 2020-07 | |
Bibliographic Citation | Sergey, Kolesnikov. Two collection formulas [Текст] / Kolesnikov Sergey, Leontiev Vladimir, Egorychev Georgy // Journal of Group Theory. — 2020. — Т. 23 (№ 4). — С. 607-628 | |
ISSN | 14335883 | |
URI (for links/citations) | https://www.degruyter.com/view/journals/jgth/23/4/article-p607.xml | |
URI (for links/citations) | https://elib.sfu-kras.ru/handle/2311/142259 | |
Abstract | Let G be a group, x,y∈G, and H is a normal closure in G of the subgroup generated by all commutators of x,y that include more than two occurrences of y. Our main result is a parametrization of the uncollected part of Hall’s collection formula for (xy)^n and two different collection formulas modulo H in an explicit form. In particular, we found explicit expressions for the exponents of the commutators in Hall’s collection formula for both known cases and some unknown cases. Also we give combinatorial identities, which simplify those expressions and help to investigate their divisibility. | |
Title | Two collection formulas | |
Type | Journal Article | |
Type | Journal Article Preprint | |
Pages | 607-628 | |
Update Date | 2021-08-13T09:28:26Z | |
DOI | 10.1515/jgth-2019-0074 | |
Institute | Институт математики и фундаментальной информатики | |
Department | Региональный научно-образовательный математический центр «Красноярский математический центр» | |
Department | Кафедра математического обеспечения дискретных устройств и систем | |
Department | Кафедра алгебры и математической логики | |
Journal Name | Journal of Group Theory | |
Journal Quartile in Scopus | Q2 | |
Journal Quartile in Web of Science | Q4 | |