The p–gen nature of M₀(V ) (I)

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Scott, S.D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152293
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The p–gen nature of M₀(V ) (I) / S.D. Scott // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 237–268. — Бібліогр.: 6 назв. — англ.

Let V be a finite group (not elementary two) and p ≥ 5 a prime. The question as to when the nearring M₀(V) of all zero-fixing self-maps on V is generated by a unit of order p is difficult. In this paper we show M₀(V) is so generated if and only if V does not belong to one of three finite disjoint fa...