Branch actions and the structure lattice

• Дата: 2025
• Автори: Fariña-Asategui, Jorge, Grigorchuk, Rostislav
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2025
• Теми: branch actions; the structure lattice; Boolean algebras; Stone spaces
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2351
• Назва журналу: Algebra and Discrete Mathematics

J. S. Wilson proved in 1971 an isomorphism between the structural lattice associated to a group belonging to his second class of groups with every proper quotient finite and the Boolean algebra of clopen subsets of Cantor’s ternary set. In this paper we generalize this isomorphism to the class of br...