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.
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