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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/00927872.2019.1684509
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.1356-1370

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.