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Sergey, Kolesnikov
Vladimir, Leontiev
Georgy, Egorychev
2021-08-13T09:28:26Z
2021-08-13T09:28:26Z
2020-07
Sergey, Kolesnikov. Two collection formulas [Текст] / Kolesnikov Sergey, Leontiev Vladimir, Egorychev Georgy // Journal of Group Theory. — 2020. — Т. 23 (№ 4). — С. 607-628
14335883
https://www.degruyter.com/view/journals/jgth/23/4/article-p607.xml
https://elib.sfu-kras.ru/handle/2311/142259
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.
Two collection formulas
Journal Article
Journal Article Preprint
607-628
2021-08-13T09:28:26Z
10.1515/jgth-2019-0074
Институт математики и фундаментальной информатики
Региональный научно-образовательный математический центр «Красноярский математический центр»
Кафедра математического обеспечения дискретных устройств и систем
Кафедра алгебры и математической логики
Journal of Group Theory
Q2
Q4


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