Luca Sabatini

activity

20202022

2

in finite groups

4 citations · 12 across the 8 of their papers we have counts for

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math.GR2022★ 1 cited

Products of subgroups, subnormality, and relative orders of elements

Luca Sabatini

Let $G$ be a group. We give an explicit description of the set of elements $x \in G$ such that $x^{∣ G : H ∣} \in H$ for every subgroup of finite index $H ⩽ G$ . This is related…

math.GR2022★ 1 cited

On groups with large verbal quotients

Francesca Lisi, Luca Sabatini

Let $w = w (x_{1}, ..., x_{n})$ be a word, i.e. an element of the free group $F = ⟨ x_{1}, ..., x_{n} ⟩$ . The verbal subgroup $w (G)$ of a group $G$ is the subgroup generated by the se…