Article Dans Une Revue AAPP | Physical, Mathematical, and Natural Sciences Année : 2025

AAPP | Atti della Accademia Peloritana dei Pericolanti

Résumé

In this short note, we survey several results concerning the structure of certain graphs, introduced by the fourth-named author, that can be associated to groups and gyro-groups, which are algebraic structures satisfying a twisted form of associativity. Furthermore, we include an original result, showing that the so-called Ḡ-gyro-graph associated to a gyro-group Ḡ endowed with a subset S ⊂ Ḡ is connected if and only if S is a left generating set of Ḡ. Moreover some properties and examples of both G-graphs and Ḡ-gyro-graphs are presented.

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hal-04983019 , version 1 (08-03-2025)

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Farzaneh Gholaminezhad, Neda Moradi, Gholam H Fath-Tabar, Alain Bretto. AAPP | Atti della Accademia Peloritana dei Pericolanti. AAPP | Physical, Mathematical, and Natural Sciences, 2025, ⟨10.1478/AAPP.1031SA1⟩. ⟨hal-04983019⟩
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