SEMIGROUP PRESENTATIONS FOR CONGRUENCES ON GROUPS
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.50, sa.2, ss.445-449, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 2
- Basım Tarihi: 2013
- Doi Numarası: 10.4134/bkms.2013.50.2.445
- Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.445-449
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Çukurova Üniversitesi Adresli: Evet
Özet
We consider a congruence rho on a group G as a subsemigroup of the direct product G x G. It is well known that a relation rho on G is a congruence if and only if there exists a normal subgroup N of G such that rho = {(s, t) : st(-1) is an element of N}. In this paper we prove that if G is a finitely presented group, and if N is a normal subgroup of G with finite index, then the congruence rho = {(s, t) : st(-1) is an element of N} on G is finitely presented.