A REIDEMEISTER-SCHREIER THEOREM FOR FINITELY L-PRESENTED GROUPS

René Hartung

Makale detayları

A REIDEMEISTER-SCHREIER THEOREM FOR FINITELY L-PRESENTED GROUPS

Yazarlar:

René Hartung

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.125-159

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718289

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

We prove a variant of the well-known Reidemeister-Schreier Theorem
 for finitely L-presented groups. More precisely, we prove that each finite
 index subgroup of a finitely L-presented group is itself finitely L-presented.
 Our proof is constructive and it yields a finite L-presentation for the subgroup.
 We further study conditions on a finite index subgroup of an invariantly finitely
 L-presented group to be invariantly L-presented itself.

Makale detayları

A REIDEMEISTER-SCHREIER THEOREM FOR FINITELY L-PRESENTED GROUPS

Yazarlar: René Hartung

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.125-159

Belge Tipi: Makale

Yayın Tarihi: 5/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000718289

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

René Hartung

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.125-159

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718289

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048