Perfect locally finite groups that are product of normal soluble subgroups of bounded derived length

ARIKAN A., ERCAN S.

RICERCHE DI MATEMATICA, cilt.73, sa.4, ss.1725-1736, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s11587-022-00704-6
  • Dergi Adı: RICERCHE DI MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1725-1736
  • Anahtar Kelimeler: Locally finite groups, Soluble groups, Hypercentral groups, Perfect groups, FC-groups, Minimal non-X groups, Barely transitive groups, P-GROUPS
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present article we consider infinite locally finite perfect groups that are product of proper normal soluble subgroups of derived length at most n (Pi S-n-groups for short) for some fixed positive integer n and give structural results for these groups. Also we provide some consequences for certain locally finite minimal non-X-groups for some classes X and barely transitive groups in the context mentioned above. Furthermore, we define certain collections of groups and consider their intersection with Pi S-n. Finally, we investigate some groups which have non-trivial minimal non-FC epimorphic images.