On the Structure of Characteristic Subgroup Lattices of Finite Abelian p-Groups

Abstract

This paper gives explicit descriptions of characteristic and fully invariant subgroups of a finite abelian p-group in term of its cyclic decomposition. The results are then utilized to identify the lattice of characteristic subgroups is self-dual.

Key words and phrases. Abelian groups, characteristic subgroups, fully invariant, lattices.

2010 Mathematics Subject Classification. 20K27; 20E15