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Simplicial complexes associated to character degrees of solvable groups
Graphs associated to the set of irreducible character degrees of a finite group [Formula: see text] have been extensively studied as a way of understanding structure of the underlying group. Another approach, proposed by Isaacs, is to study associated simplicial complexes, namely, the common divisor simplicial complex [Formula: see text] and the prime divisor simplicial complex [Formula: see text]. These complexes can be associated to any set of positive integers and this paper shows that they...
Download 2025 Nela Milošević , Aleksandra Kostić Matijević , Zoran Z. Petrović
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