Two collection formulas : научное издание

Описание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.1515/jgth-2019-0074

Аннотация: Let G be a group, x, y is an element of 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 explicПоказать полностьюit 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.

Ссылки на полный текст

Издание

Журнал: JOURNAL OF GROUP THEORY

Выпуск журнала: Vol. 23, Is. 4

Номера страниц: 607-628

ISSN журнала: 14335883

Место издания: BERLIN

Издатель: WALTER DE GRUYTER GMBH

Персоны