Hyperballeans of groups

Hyperballeans of groups

In this paper we define some ballean structure on the power set of a group and, in particular, we study the subballean with support the lattice of all its subgroups. If \(G\) is a group, we denote by \(L(G)\) the family of all subgroups of \(G\). For two groups \(G\) and \(H\), we relate their algeb...

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Veröffentlicht in:arXiv.org 2019-02
Hauptverfasser: Dikranjan, D, Protasov, I, Zava, N
Format: Artikel
Sprache:eng
Schlagworte:
Subgroups
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Zusammenfassung:In this paper we define some ballean structure on the power set of a group and, in particular, we study the subballean with support the lattice of all its subgroups. If \(G\) is a group, we denote by \(L(G)\) the family of all subgroups of \(G\). For two groups \(G\) and \(H\), we relate their algebraic structure via the ballean structure of \(L(G)\) and \(L(H)\).
ISSN:2331-8422