On finitary series of groups represented as permutation or linear groups

ARIKAN A., ARIKAN A., Zitouni A.

COMMUNICATIONS IN ALGEBRA, cilt.48, sa.3, ss.1356-1370, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/00927872.2019.1684509
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1356-1370
  • Anahtar Kelimeler: Finitary series, finitary permutation, cofinitary permutation, linear groups, minimal non-soluble groups, minimal non-hypercentral groups, barely transitive groups
  • Gazi Üniversitesi Adresli: Evet

Özet

We mainly introduce finitary series of groups which can be represented as permutation or linear groups. Also we define (finitary permutation)-hypercentral (nilpotent) and (finitary linear)-hypercentral (nilpotent) groups. We give certain applications of the introduced concepts to perfect locally finite barely transitive p-groups.