On infinitely supported groups

ALTINKAYA R. S., ARIKAN A., ARIKAN A.

Ricerche di Matematica, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s11587-025-00969-7
  • Dergi Adı: Ricerche di Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Abelian groups, FC-groups, Infinitely supported groups, Soluble groups
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present article we define infinitely supported groups and investigate main properties of such groups, especially in abelian case. We give some examples in non-abelian case. We see that some celebrated constructions of groups are infinitely supported such as Čarin’s groups with min-n, Ol’shanskiǐ’s and Obraztsov’s constructions, Heineken-Mohamed type groups and non-perfect minimal non-FC-groups.