ON CERTAIN APPLICATIONS OF THE KHUKHRO-MAKARENKO THEOREM

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ARIKAN A., Smith H., Trabelsi N.

GLASGOW MATHEMATICAL JOURNAL, cilt.55, sa.2, ss.275-283, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1017/s0017089512000493
  • Dergi Adı: GLASGOW MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.275-283
  • Gazi Üniversitesi Adresli: Evet

Özet

Some recent results of Khukhro and Makarenko on the existence of characteristic X-subgroups of finite index in a group G, for certain varieties X, are used to obtain generalisations of some well-known results in the literature pertaining to groups G, in which all proper subgroups satisfy some condition or other related to the property 'soluble-by-finite'. In addition, a partial generalisation is obtained for the aforementioned results on the existence of characteristic subgroups.