The structure of automorphism groups of semigroup inflations

• Дата: 2018
• Автор: Kudryavtseva, Ganna
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: semigroup inflation; semidirect product; automorphism group; 20M10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835
• Назва журналу: Algebra and Discrete Mathematics

In this paper we prove that the automorphism group of a semigroup being an inflation of its proper subsemigroup decomposes into a semidirect product of two groups one of which is a direct sum of full symmetric groups.