N-barely transitive permutation groups

Alkis, Oguz; ARIKAN, AHMET; ARIKAN, AYNUR

doi:10.1007/s11587-021-00608-x

N-barely transitive permutation groups

Alkis O., ARIKAN A., ARIKAN A.

RICERCHE DI MATEMATICA, cilt.72, sa.1, ss.141-152, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 72 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.1007/s11587-021-00608-x
Dergi Adı: RICERCHE DI MATEMATICA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Sayfa Sayıları: ss.141-152
Anahtar Kelimeler: Barely transitive group, N-barely transitive group, Minimal non-FC-group, Finitary permutation group, Cofinitary permutation group, Perfect group, Locally soluble group
Gazi Üniversitesi Adresli: Evet

Özet

A group G is an N-barely transitive group (NBT-group) if G acts on an infinite set transitively and faithfully and all proper normal subgroups of G have finite orbits. We investigate the main properties and structure of NBT-groups. We give some examples in non-perfect and perfect case. Also we show that there does not exist a locally soluble perfect cofinitary NBT-group.