International Journal of Statistics and Applied Mathematics
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2018, Vol. 3, Issue 2, Part H

The structure of the lattice of subgroups of the symmetric group s5


Author(s): A Vethamanickam and C Krishna Kumar

Abstract: In this paper we determine all the subgroups of the symmetric group S5 explicitly by applying Lagrange’s theorem, Sylow’s theorem. We give the diagram of the lattice of subgroups of S5. We also study some lattice theoretic properties of the lattice of subgroups of Sn, when n 5.

Pages: 652-663 | Views: 1196 | Downloads: 19

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International Journal of Statistics and Applied Mathematics
How to cite this article:
A Vethamanickam, C Krishna Kumar. The structure of the lattice of subgroups of the symmetric group s5. Int J Stat Appl Math 2018;3(2):652-663.

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