Rings associated to coverings of finite ppp-groups

Gary WALLS; Linhong WANG

Makale detayları

Rings associated to coverings of finite ppp-groups

Yazarlar:

Gary WALLS | Linhong WANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1340-1348

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746113

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In general the endomorphisms of a nonabelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group, which are endomorphisms when restricted to the elements of a cover of the group by abelian subgroups. We give an algorithm that allows us to determine the elements of the ring of functions of a finite ppp-group that arises in this manner when the elements of the cover are required to be either cyclic or  elementary abelian of rank 222. This enables us to determine the actual structure of such a ring as a subdirect product. A key part of the argument is the construction of a graph whose vertices are the subgroups of order ppp and whose edges are determined by the covering.

Makale detayları

Rings associated to coverings of finite ppp-groups

Yazarlar: Gary WALLS | Linhong WANG

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1340-1348

Belge Tipi: Makale

Yayın Tarihi: 11/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746113

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Gary WALLS | Linhong WANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1340-1348

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746113

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098