Showing 183–196 of 7,997 results for "Bidoli Ettore"

Journals 2025 EN

Remarks on some one-ended groups

Otera Daniele Ettore

In this note, we study the condition of being one-ended for a particular class of discrete groups, namely groups acting freely and co-compactly on some CAT(0) square complexes. In particular, we furnish an algorithm that associates to a one-ended squared group another square complex which is “smaller” and more tractable than the one given by the definition of the group, in particular with nicer local connectivity conditions.

De Gruyter
Journals 2025 EN

On the coprime power graph of groups II

Mutar Mohammed A. · Otera Daniele Ettore · Tayyah Adel Salim

The power graph of a groupGis a simple graph with vertex setG, where two vertices are adjacent if one is a power of the other. Recently, we introduced the co-prime power graph as a generalization of the power graph. In this paper, we propose a modified and more appropriate version of the co-prime power graph and establish several results concerning its structure and properties.

De Gruyter