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The structure of the lattice of subgroups of the symmetric group s5
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(2) · pp. 652–663
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.
graph theory and CDMA systemssemigroups and automata theoryAdvanced Algebra and LogicMathematicsLattice (music)Sylow theoremsCombinatoricsPure mathematicsGroup (periodic table)PhysicsFinite groupQuantum mechanics
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