Group algebras whose unit group is locally nilpotent

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Bovdi_V_Group_algebras_whose_unit_group_is_locally_nilpotent_2020.pdf (1.66 MB)

Дата

2020-05-07

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Видавець

Cambridge University Press

Анотація

Abstract. We present a complete list of groups G and fields F for which: (i) the group of normalized units V(FG) of the group algebra FG is locally nilpotent; (ii) the set of nontrivial nilpotent elements of FG is finite and nonempty, and V(FG) is an Engel group.

Опис

https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/group-algebras-whose-unit-group-is-locally-nilpotent/482C5F244EBD8211FAFC0A920468E758

Ключові слова

unit group, group algebra, locally nilpotent group, Engel group, egységcsoport, csoportalgebra, lokálisan nilpotens csoport, Engel csoport

Бібліографічний опис

Victor Bovdi: Group algebras whose unit group is locally nilpotent. In Journal of the Australian Mathematical Society. 2020. Volume 109., Issue 1. pp. 17-23.

URI

https://dspace.kme.org.ua/handle/123456789/1307

Зібрання

Bódi Viktor

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Attribution-NonCommercial-NoDerivs 3.0 United States
Except where otherwised noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States