The p–gen nature of M₀(V ) (I)

dc.contributor.author	Scott, S.D.
dc.date.accessioned	2019-06-09T15:33:24Z
dc.date.available	2019-06-09T15:33:24Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:16Y30.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152293
dc.description.abstract	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 families D#(1, p) (=D(1, p) ∪ {{0}}), D(2, p) and D(3, p) of groups, where D(n, p) are those groups G (not elementary two) with \|G\| ≤ np and δ(G) > (n − 1)p (see [1] or §.1 for the definition of δ(G)).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	The p–gen nature of M₀(V ) (I)	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA