On some lattice theoretic properties in the lattice of subgroups of the symmetric groups

A. Vethamanickam, C. Krishna Kumar

Abstract: In this paper we study about some lattice theoretic properties in the lattice of subgroups of Sn. The lattice theoretic properties verified are: distributivity, general disjointness condition, supersolvability, supermodularity, semi-supermodularity, pseudo-complementedness in L(Sn).

Keywords: symmetric group, lattice of subgroups, lattice theoretic properties.

Title: On some lattice theoretic properties in the lattice of subgroups of the symmetric groups

Author: A. Vethamanickam, C. Krishna Kumar

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Research Publish Journals

Vol. 6, Issue 1, April 2018 – September 2018

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On some lattice theoretic properties in the lattice of subgroups of the symmetric groups by A. Vethamanickam, C. Krishna Kumar