Тип публикации: статья из журнала
Год издания: 2015
Идентификатор DOI: 10.1007/s10469-015-9335-8
Ключевые слова: periodic group, periodic product, spectrum of group, recognizability by spectrum, Baire-Suzuki theorem, modular group, Baire–Suzuki theorem
Аннотация: It is proved that there exist periodic groups containing elements of even order and only trivial normal 2-subgroups, in which every pair of involutions generates a 2-group. This gives a negative answer to Question 11.11a in the Kourovka Notebook. Furthermore, we point out examples of finite simple groups that are recognizable by spПоказать полностьюectrum in the class of finite groups but not recognizable in the class of all groups.
Журнал: ALGEBRA AND LOGIC
Выпуск журнала: Vol. 54, Is. 2
Номера страниц: 161-166
ISSN журнала: 00025232
Место издания: NEW YORK
Издатель: SPRINGER