Permutation groups with cyclic-block property and MNFCMNFCMNFC-groups

Ali Osman ASAR

Makale detayları

Permutation groups with cyclic-block property and MNFCMNFCMNFC-groups

Yazarlar:

Ali Osman ASAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 4, pp.983-997

Belge Tipi:

Makale

Yayın Tarihi:

7/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746027

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

This work continues the investigation of perfect  locally finite minimal non-FCFCFC-groups in totally imprimitive  permutation ppp-groups. At present, the class of totally  imprimitive permutation ppp-groups satisfying the cyclic-block  property is known to be the only class of ppp-groups having common  properties with a hypothetical minimal non-FCFCFC-group, because a  totally imprimitive permutation ppp-group satisfying the  cyclic-block property cannot be generated by a subset of finite  exponent and every non-FCFCFC-subgroup of it is transitive, which  are the properties satisfied by a minimal non-FCFCFC-group. Here a  sufficient condition is given for the nonexistence of minimal  non-FCFCFC-groups in this class of permutation groups. In particular,  it is shown that the totally imprimitive permutation ppp-group  satisfying the cyclic-block property that was constructed earlier  and its commutator subgroup cannot be minimal non-FCFCFC-groups.  Furthermore, some properties of a maximal ppp-subgroup of the  finitary symmetric group on N∗N∗\mathbb{N}^* are obtained.

Makale detayları

Permutation groups with cyclic-block property and MNFCMNFCMNFC-groups

Yazarlar: Ali Osman ASAR

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 4, pp.983-997

Belge Tipi: Makale

Yayın Tarihi: 7/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000746027

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Ali Osman ASAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 4, pp.983-997

Belge Tipi:

Makale

Yayın Tarihi:

7/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746027

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098