On The Jacobsthal-Padovan p-Sequences in Groups

Author:

Aküzüm Yesim1,Deveci Ömür1

Affiliation:

1. 1Department of Mathematics, Faculty of Science and Letters, Kafkas University 36100, Turkey

Abstract

AbstractIn [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail. Furthermore, we obtain the lengths of the periods of the Jacobsthal-Padovan p-orbits of the Fox groups G1,l for l ≥ 3 as applications of the results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Reference11 articles.

1. The Jacobsthal Sequences their Applications is submitted;Deveci

2. The sequences its applications;Deveci;Math

3. On period of the sequence of Fibonacci polynomials modulo Discrete;Gultekin;Nat Soc,2013

4. On a group presentation due to Fox;Campbell;Math Bull,1976

5. On the commutator lengths of certain classes of finitely presented groups Volume Article ID Pages;Doostie;Int J Math Math Sci,2006

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the combined Jacobsthal-Padovan generalized quaternions;Advanced Studies: Euro-Tbilisi Mathematical Journal;2022-06-01

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