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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152293 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862655551104614400 |
|---|---|
| author | Scott, S.D. |
| author_facet | Scott, S.D. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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)).
|
| first_indexed | 2025-12-02T03:30:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152293 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-02T03:30:51Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Scott, S.D. 2019-06-09T15:33:24Z 2019-06-09T15:33:24Z 2013 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. https://nasplib.isofts.kiev.ua/handle/123456789/152293 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)). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The p–gen nature of M₀(V ) (I) Article published earlier |
| spellingShingle | The p–gen nature of M₀(V ) (I) Scott, S.D. |
| title | 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_short | The p–gen nature of M₀(V ) (I) |
| title_sort | p–gen nature of m₀(v ) (i) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152293 |
| work_keys_str_mv | AT scottsd thepgennatureofm0vi AT scottsd pgennatureofm0vi |