On modular representations of semigroups Sp × Tp

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Authors: Bondarenko, V., Kostyshyn, E.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152304
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On modular representations of semigroups Sp × Tp / V. Bondarenko, E. Kostyshyn // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 16–19. — Бібліогр.: 5 назв. — англ.

Let p be simple, and let Sp and Tp be the symmetric group and the symmetric semigroup of degree p, respectively. The theorem of this paper says hat the direct product Sp × Tp are of wild representation type over any field of characteristic p. The main case is p = 2.