On groups with action on itself

Uslu E. O., ASLAN A. F., ODABAŞ A.

GEORGIAN MATHEMATICAL JOURNAL, cilt.26, sa.3, ss.459-470, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/gmj-2017-0036
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.459-470
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We introduce the notions of center, singularity and nilpotency (class) of a group with action on itself. Also, we describe a new package GwA for GAP4, including functions checking some properties of groups with action on itself with finite underlying group. As applications of the implemented functions, we give examples of groups with action satisfying Condition 1 stated in [3]. In other words, we get concrete examples of "coquecigrue" in the terminology of Loday [8, 9].