The p–gen nature of M₀(V ) (I)
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...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152293 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1522932019-06-10T01:26:02Z The p–gen nature of M₀(V ) (I) Scott, S.D. 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)). 2013 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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)). |
| format |
Article |
| author |
Scott, S.D. |
| spellingShingle |
Scott, S.D. The p–gen nature of M₀(V ) (I) Algebra and Discrete Mathematics |
| author_facet |
Scott, S.D. |
| author_sort |
Scott, S.D. |
| title |
The p–gen nature of M₀(V ) (I) |
| title_short |
The p–gen nature of M₀(V ) (I) |
| title_full |
The p–gen nature of M₀(V ) (I) |
| title_fullStr |
The p–gen nature of M₀(V ) (I) |
| title_full_unstemmed |
The p–gen nature of M₀(V ) (I) |
| title_sort |
p–gen nature of m₀(v ) (i) |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152293 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:37:57Z |
| last_indexed |
2023-05-20T17:37:57Z |
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1796153735307591680 |