Characteristic Subgroups of Finite Abelian Groups

DOI10.1080/00927871003591843zbMath1221.20037arXiv0905.1885OpenAlexW1993221337MaRDI QIDQ2995339

Brent L. Kerby, Emma L. Rode

Publication date: 20 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1885

zbMATH Keywords

lattice isomorphismsfinite Abelian groupsautomorphism classeslattices of characteristic subgroups

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite abelian groups (20K01) Chains and lattices of subgroups, subnormal subgroups (20E15) Subgroups of abelian groups (20K27)

Related Items

Permutation representations of the orbits of the automorphism group of a finite module over discrete valuation ring, Automorphism Groups of Schur Rings, The Reidemeister spectrum of finite abelian groups, Solitary quotients of finite groups., Characteristic subspaces and hyperinvariant frames, Characteristic subgroup lattices and Hopf–Galois structures

Cites Work

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• Subgroups of Abelian Groups
• Types of Elements and Characteristic Subgroups of Abelian Groups
• The Significance of the System of Subgroups for the Structure of the Group