On Graphs Associated with Character Degrees and Conjugacy Class Sizes of Direct Products of Finite Groups
| Autor: | Ali Iranmanesh, Mohammad Ali Hosseinzadeh, Samaneh Hossein-Zadeh, Mark L. Lewis |
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| Rok vydání: | 2015 |
| Předmět: |
Group (mathematics)
General Mathematics 010102 general mathematics Context (language use) 0102 computer and information sciences 01 natural sciences Prime (order theory) Set (abstract data type) Combinatorics Algebra Conjugacy class Character (mathematics) 010201 computation theory & mathematics Greatest common divisor 0101 mathematics Direct product Mathematics |
| Zdroj: | Canadian Mathematical Bulletin. 58:105-109 |
| ISSN: | 1496-4287 0008-4395 |
| DOI: | 10.4153/cmb-2014-058-8 |
| Popis: | The prime vertex graph, Δ(X), and the common divisor graph, Γ(X), are two graphs that have been deûned on a set of positive integers X. Some properties of these graphs have been studied in the cases where either X is the set of character degrees of a group or X is the set of conjugacy class sizes of a group. In this paper, we gather some results on these graphs arising in the context of direct product of two groups. |
| Databáze: | OpenAIRE |
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