On p-schemes with the same degrees of thin radical and thin residue

Fatemeh RAEI BARANDAGH; Amir RAHNAMAI BARGHI

Makale detayları

On p-schemes with the same degrees of thin radical and thin residue

Yazarlar:

Fatemeh RAEI BARANDAGH | Amir RAHNAMAI BARGHI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 1, pp.103-111

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747234

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on pn points whose thin radical and thin residue each have degree equal to pn-1, and whose basis relations each have valency 1 or pn-1. Moreover, we show that such schemes are Schurian.

 

Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on pn points whose thin radical and thin residue each have degree equal to pn-1, and whose basis relations each have valency 1 or pn-1. Moreover, we show that such schemes are Schurian.

Makale detayları

On p-schemes with the same degrees of thin radical and thin residue

Yazarlar:

Fatemeh RAEI BARANDAGH | Amir RAHNAMAI BARGHI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 1, pp.103-111

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747234

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Association scheme

p-scheme

thin radical

thin residue

Sayı

Makale detayları

On p-schemes with the same degrees of thin radical and thin residue

Yazarlar: Fatemeh RAEI BARANDAGH | Amir RAHNAMAI BARGHI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2015 Vol.39 Issue 1, pp.103-111

Belge Tipi: Makale

Yayın Tarihi: 3/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000747234

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Association scheme

p-scheme

thin radical

thin residue

Sayı

Yazarlar:

Fatemeh RAEI BARANDAGH | Amir RAHNAMAI BARGHI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 1, pp.103-111

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747234

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098