A SHORT NOTE ON ATOMS AND COATOMS IN SUBGROUP LATTICES OF GROUPS

Khass, Hossain; Bazigaran, Behnam; Ashrafi, Ali Reza

A SHORT NOTE ON ATOMS AND COATOMS IN SUBGROUP LATTICES OF GROUPS

Document Type : Research Paper

Authors

University of Kashan

Abstract

In this paper we give an elementary argument about the atoms and coatoms of the lattice
of all subgroups of a group. It is proved that an abelian group of finite exponent is strongly coatomic.

Keywords

References

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