Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups

• Опубліковано в: : Algebra and Discrete Mathematics
• Дата: 2009
• Автори: Slupik, A.J., Sushchansky, V.I.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут прикладної математики і механіки НАН України 2009
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/154503
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ.

Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible t...