On verbal subgroups in finite and profinite groups

• Опубліковано в: : Algebra and Discrete Mathematics
• Дата: 2012
• Автори: Acciarri, C., Shumyatsky, P.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут прикладної математики і механіки НАН України 2012
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/152224
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: On verbal subgroups in finite and profinite groups / C. Acciarri, P. Shumyatsky // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 1–13. — Бібліогр.: 32 назв. — англ.

Let w be a multilinear commutator word. In the present paper we describe recent results that show that if G is a profinite group in which all w-values are contained in a union of finitely (or in some cases countably) many subgroups with a prescribed property, then the verbal subgroup w(G) has the sa...