Groups with the Infinite Non-Quasicentral Nodal Subgroup

  • Ludovit Tomanek
  • Anna Tomankova
Keywords: a group, a subgroup, a commutator of a group, a locally graded group, p-quasicyclic group, a direct and semi-direct product of groups, an extension of a group

Abstract

We present some properties of the groups with the infinite non-quasicentral periodic nodal subgroup. Our main results are formulated in Theorem 1, 2 and Theorem 3, 4. 2000 Mathematics Subject Classification: 20F22, 20F25

Author Biographies

Ludovit Tomanek

Department of Mathematics, Faculty of Humanities, University of Zilina, Slovakia

Anna Tomankova

Institute of Foreign Languages, University of Zilina, Slovakia

Published
2014-07-31
How to Cite
Tomanek, L., & Tomankova, A. (2014). Groups with the Infinite Non-Quasicentral Nodal Subgroup. Communications - Scientific Letters of the University of Zilina, 16(3), 60-64. Retrieved from http://journals.uniza.sk/index.php/communications/article/view/526
Issue
Vol 16 No 3 (2014)
Section
Articles