- About this Journal ·
- Abstracting and Indexing ·
- Aims and Scope ·
- Annual Issues ·
- Article Processing Charges ·
- Author Guidelines ·
- Bibliographic Information ·
- Citations to this Journal ·
- Contact Information ·
- Editorial Board ·
- Editorial Workflow ·
- Free eTOC Alerts ·
- Publication Ethics ·
- Recently Accepted Articles ·
- Reviewers Acknowledgment ·
- Submit a Manuscript ·
- Subscription Information ·
- Table of Contents
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 760246, 17 pages
The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
1Department of Mathematics, Kangnung-Wonju National University, Kangnung 210-702, Republic of Korea
2Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea
Received 9 May 2012; Accepted 25 July 2012
Academic Editor: Prasanta K. Panigrahi
Copyright © 2012 Ju-Mok Oh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- V. Murali and B. B. Makamba, “On an equivalence of fuzzy subgroups. II,” Fuzzy Sets and Systems, vol. 136, no. 1, pp. 93–104, 2003.
- V. Murali and B. B. Makamba, “Counting the number of fuzzy subgroups of an abelian group of order ,” Fuzzy Sets and Systems, vol. 144, no. 3, pp. 459–470, 2004.
- J.-M. Oh, “The number of chains of subgroups of a finite cycle group,” European Journal of Combinatorics, vol. 33, no. 2, pp. 259–266, 2012.
- M. Tărnăuceanu and L. Bentea, “On the number of fuzzy subgroups of finite abelian groups,” Fuzzy Sets and Systems, vol. 159, no. 9, pp. 1084–1096, 2008.
- J. M. Oh, “The number of chains of subgroups of the dihedral group,” Submitted.
- J. S. Rose, A Course on Group Theory, Dover Publications, New York, NY, USA, 1994.
- W. R. Scott, Group Theory, Prentice-Hall, Englewood Cliffs, NJ, USA, 1964.
- M. Aigner, Combinatorial Theory, Springer, New York, NY, USA, 1979.
- A. Tucker, Applied Combinatorics, John Wiley & Sons, New York, NY, USA, 1995.