The center of the wreath product of symmetric group algebras

• Datum: 2021
• 1. Verfasser: Tout, O.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2021
• Schlagworte: symmetric groups; wreath products; structure coefficients; centers of finite groups algebras; 05E10; 05E16; 20C30
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1338
• Назва журналу: Algebra and Discrete Mathematics

We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric group algebras. This allows us to recover an old result of Far...