The Redheffer numbers and their applications

Ömür Deveci and Anthony G. Shannon
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 4, Pages 26–37
DOI: 10.7546/nntdm.2018.24.4.26-37
Full paper (PDF, 142 Kb)

Details

Authors and affiliations

Ömür Deveci
Department of Mathematics, Faculty of Science and Letters, Kafkas University
36100 Kars, Turkey

Anthony G. Shannon
Fellow, Warrane College, The University of New South Wales
Kensington 2033, Australia

Abstract

In this paper, we define the Redheffer numbers and then we obtain their miscellaneous properties. Also, we study the Redheffer numbers modulo m. Furthermore, we define the Redheffer orbits and the basic Redheffer orbits of 2-generator and 3-generator groups, then we examine the lengths of the periods of these orbits. Finally, we obtain the Redheffer lengths and the basic Redheffer lengths of some special finite groups as applications of Redheffer orbits and the basic Redheffer orbits.

Keywords

• Redheffer numbers
• Matrix
• Sequence
• Group
• Length

2010 Mathematics Subject Classification

• 11B50
• 20F05
• 15A36
• 20D60

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