An ${\cal E}$-lattice structure associated to some classes of finite groups

zbMATH Open1176.06008arXiv1811.04561MaRDI QIDQ3601258

Marius Tărnăuceanu

Publication date: 10 February 2009

Abstract: In the present paper we introduce and study a canonical $calE$-lattice structure on the set of element orders of some finite groups. We show that a finite abelian group is uniquely determined by this canonical $calE$-lattice.

Full work available at URL: https://arxiv.org/abs/1811.04561

zbMATH Keywords

\({\mathcal E}\)-latticecanonical \({\mathcal E}\)-latticeorder-canonical \({\mathcal E}\)-lattice

Mathematics Subject Classification ID

Finite abelian groups (20K01) Generalizations of lattices (06B75)

Related Items (1)

On the structure of group-like \(\mathrm{FL}_e\)-chains

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