A note on the conjugacy problem for finite Sylow subgroups of  linear pseudofinite groups

Pinar Uğurlu KOWALSKİ

Makale detayları

A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups

Yazarlar:

Pinar Uğurlu KOWALSKİ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 6, pp.1458-1466

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745968

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We prove the conjugacy of Sylow 222-subgroups in  pseudofinite McMc\mathfrak{M}_c (in particular linear) groups under the assumption that there is at least one finite Sylow 222-subgroup.  We observe the importance of the pseudofiniteness assumption by analyzing  an example of a linear group with nonconjugate finite Sylow 222-subgroups, which was constructed by Platonov.

Makale detayları

A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups

Yazarlar: Pinar Uğurlu KOWALSKİ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 6, pp.1458-1466

Belge Tipi: Makale

Yayın Tarihi: 11/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000745968

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Pinar Uğurlu KOWALSKİ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 6, pp.1458-1466

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745968

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098