The p–gen nature of M₀(V ) (I)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The p–gen nature of M₀(V ) (I)
|
|
| Creator |
Scott, S.D.
|
|
| Description |
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)).
|
|
| Date |
2019-06-09T15:33:24Z
2019-06-09T15:33:24Z 2013 |
|
| Type |
Article
|
|
| Identifier |
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.
1726-3255 2010 MSC:16Y30. http://dspace.nbuv.gov.ua/handle/123456789/152293 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|