Number of pseudo--Anosov elements in the mapping class group of a four--holed sphere

Ferihe ATALAN

Makale detayları

Number of pseudo--Anosov elements in the mapping class group of a four--holed sphere

Yazarlar:

Ferihe ATALAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.585-592

Belge Tipi:

Makale

Yayın Tarihi:

3/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748068

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

We compute the growth series and the growth functions of  reducible and pseudo-Anosov elements of the pure mapping class group  of the sphere with four holes with respect to a certain generating  set.  We prove that the ratio of the number of pseudo-Anosov elements  to that of all elements in a ball with center at the identity tends to  one as the radius of the ball tends to infinity.

 

We compute the growth series and the growth functions of  reducible and pseudo-Anosov elements of the pure mapping class group  of the sphere with four holes with respect to a certain generating  set.  We prove that the ratio of the number of pseudo-Anosov elements  to that of all elements in a ball with center at the identity tends to  one as the radius of the ball tends to infinity.

Makale detayları

Number of pseudo--Anosov elements in the mapping class group of a four--holed sphere

Yazarlar:

Ferihe ATALAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.585-592

Belge Tipi:

Makale

Yayın Tarihi:

3/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748068

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Mapping class group

growth series

growth functions

Sayı

Makale detayları

Number of pseudo--Anosov elements in the mapping class group of a four--holed sphere

Yazarlar: Ferihe ATALAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.585-592

Belge Tipi: Makale

Yayın Tarihi: 3/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000748068

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Mapping class group

growth series

growth functions

Sayı

Yazarlar:

Ferihe ATALAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.585-592

Belge Tipi:

Makale

Yayın Tarihi:

3/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748068

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098