| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 794 7 |
| Ultima descărcare din IBN: 2023-03-30 11:54 |
 SM ISO690:2012ASHIQ, Muhammad, MUSHTAQ, Qaiser. Actions of a subgroup of the modular group on an imaginary quadratic field. In: Quasigroups and Related Systems, 2006, vol. 14, nr. 2(16), pp. 133-146. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Quasigroups and Related Systems | ||||||
| Volumul 14, Numărul 2(16) / 2006 / ISSN 1561-2848 | ||||||
|
||||||
| Pag. 133-146 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
The imaginary quadrati elds are de ned by the set {a b√−n : a, b ∈ Q} and are denoted by Q(√−n), where n is a square-free positive integer. In this paper we have proved that if α =a √−nc ∈ Q∗(−n)= {a √−nc: a, a2 nc, c ∈ Z, c 6= 0}, then n does not hange its value in the orbit αG, where G =< u, v : u3 = v3 = 1 >. Also we show that the number of orbits of Q∗(√−n) under the a tion of G are 2[d(n) 2d(n 1)−6] and 2[d(n) 2d(n 1) − 4] a ording to n is odd or even, exept for n = 3 for whih there are exa tly eight orbits.Also, the a tion of G on Q∗(√−n) is always intransitive. |
||||||
|
DataCite XML Export
<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'>
<creators>
<creator>
<creatorName>Ashiq, M.</creatorName>
</creator>
<creator>
<creatorName>Mushtaq, Q.</creatorName>
</creator>
</creators>
<titles>
<title xml:lang='en'>Actions of a subgroup of the modular group on an imaginary quadratic field</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2006</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<dates>
<date dateType='Issued'>2006-06-05</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>The imaginary quadrati elds are de ned by the set {a b√−n : a, b ∈ Q} and are denoted by Q(√−n), where n is a square-free positive integer. In this paper we have proved that if α =a √−nc ∈ Q∗(−n)= {a √−nc: a, a2 nc, c ∈ Z, c 6= 0}, then n does not hange its value in the orbit αG, where G =< u, v : u3 = v3 = 1 >. Also we show that the number of orbits of Q∗(√−n) under the a tion of G are 2[d(n) 2d(n 1)−6] and 2[d(n) 2d(n 1) − 4] a ording to n is odd or even, exept for n = 3 for whih there are exa tly eight orbits.Also, the a tion of G on Q∗(√−n) is always intransitive.</description>
</descriptions>
<formats>
<format>application/pdf</format>
</formats>
</resource>|
|
|
