Characterization of a class of Symmetric Group
Keywords:
Symmetric group; Permutation; Dihedral group; Generators; Relations; Cayley's Theorem.
Abstract
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References
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G. Birkhoff, S. MacLane,A Survey of Modern Algebra , (4th ed.), Macmillan Publishing Co., Inc., 1977.
M. O. Oluwayemi, O. A. Fadipe-Joseph, New Subclasses of Univalent Functions Defined Using a Linear Combination of Generalised Salagean and Ruscheweyh Operators, International Journal of Mathematical Analysis and Optimization: Theory and Applications, 2017, 187 -200
J.J. Cannon, D.F. Holt, Computing maximal subgroups of finite groups, J. Symbolic Comput. 37, 2004, 589-609.
J. Kempe, L. Pyber, and A. Shalev, Permutation groups, minimal degrees and quantum computing, Groups, Geometry, and Dynamics 1, 2007, 553-584.
R. Sulaiman, Subgroups Lattice of Symmetric Group S4; International Journal of Algebra, Vol. 6, 2012, no. 1, 29-35.
J.J. Cannon, D.F. Holt, The Transitive Permutation Groups of Degree 32, J. Experimental Math., 17, 2008, 307-314.
A. Cayley, Desiderata and Suggestions. No. 1. The Theory of Groups, Amer. J. Math., (1), 1878, 50-52.
C.F. Gardiner, A First Course in Group Theory, Springer-Verlag, Berlin, 1997.
H.E. Rose, A Course on Finite Groups, Springer-Verlag London Limited 2009.
D. S. Dummit, R. M. Foote, Abstract Algebra, (3rd ed), John Wiley and Sons, Inc., 2004.
I.N. Herstein, Abstract Algebra (3rd ed.), Prentice Hall Inc., Upper Saddle River, 1996.
J.B. Fraleigh, A First Course in Abstract Algebra, Addison-Wesley, London, 1992.
A. Leibak, P. Puusemp, On endomorphisms of groups of order 36 , Proceedings of the Estonian Academy of Sciences, 2016, 65, 3, 237-254.
J. J. Rotman, Advanced Modern Algebra, Prentice Hall, 2003.
D. J. S. Robinson, An Introduction to Abstract Algebra, Walter de Gruyter Berlin, New York 2003.
D. S. Malik, J. N. Mordeson, M.K. Sen, MTH 581-582: Introduction to Abstract Algebra, United States of America, 2007.
G. Birkhoff, S. MacLane,A Survey of Modern Algebra , (4th ed.), Macmillan Publishing Co., Inc., 1977.
M. O. Oluwayemi, O. A. Fadipe-Joseph, New Subclasses of Univalent Functions Defined Using a Linear Combination of Generalised Salagean and Ruscheweyh Operators, International Journal of Mathematical Analysis and Optimization: Theory and Applications, 2017, 187 -200
Published
2019-06-18
How to Cite
Edeghagha, E., Rabiu, K. I., & Tajudeen, G. I. (2019). Characterization of a class of Symmetric Group. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2019(1), 455 - 467. Retrieved from http://ijmso.unilag.edu.ng/article/view/450
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