Good action of a nilpotent group with regular orbits

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ERCAN G., GÜLOĞLU İ. Ş.

COMMUNICATIONS IN ALGEBRA, cilt.50, sa.10, ss.4191-4194, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 10
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/00927872.2022.2058008
  • 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.4191-4194
  • Anahtar Kelimeler: Fitting height, good action, nilpotent group, regular orbit
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Suppose that A is a finite nilpotent group of odd order having a good action, in the sense of [1], on the group G of odd order. Under some additional assumptions we prove that the Fitting height of G is bounded above by the sum of the numbers of primes dividing vertical bar A vertical bar and vertical bar C-G(A)vertical bar counted with multiplicities.