Výsledky vyhledávání - "Fasolă, Georgiana"

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On groups occurring as absolute centers of finite groups

Autor: Fasolă, Georgiana, Tărnăuceanu, Marius

Given a construction $f$ on groups, we say that a group $G$ is \textit{$f$-realisable} if there is a group $H$ such that $G\cong f(H)$, and \textit{completely $f$-realisable} if there is a group $H$ such that $G\cong f(H)$ and every subgroup of $G$ i

Externí odkaz: http://arxiv.org/abs/2310.12372

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Completely realisable groups

Autor: Fasolă, Georgiana, Tărnăuceanu, Marius

Externí odkaz: http://arxiv.org/abs/2303.15636

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On a group-theoretical generalization of the Gauss formula

Autor: Fasolă, Georgiana, Tărnăuceanu, Marius

In this paper, we discuss a group-theoretical generalization of the well-known Gauss formula involving the functionthat counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.
Comment:

Externí odkaz: http://arxiv.org/abs/2212.09055

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Finite groups with large Chermak-Delgado lattices

Autor: Fasolă, Georgiana, Tărnăuceanu, Marius

Publikováno v: Bulletin of the Australian Mathematical Society, 2022

Given a finite group $G$, we denote by $L(G)$ the subgroup lattice of $G$ and by ${\cal CD}(G)$ the Chermak-Delgado lattice of $G$. In this note, we determine the finite groups $G$ such that $|{\cal CD}(G)|=|L(G)|-k$, $k=1,2$.

Externí odkaz: http://arxiv.org/abs/2209.00705

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