On graphs related to conjugacy classes of some two-groups

Let G be a two-generator two-group of class two. We denote Γ(G) the undirected graph whose vertices are the non-central conjugacy classes of G in which two vertices are connected if and only if their orders are not relatively prime. In this paper, we obtain several properties of Γ(G).

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書目詳細資料
Main Authors: Ilangovan, S., Sarmin, N. H.
格式: Conference or Workshop Item
出版: 2013
主題:
在線閱讀:http://eprints.utm.my/id/eprint/51211/
http://dx.doi.org/10.1063/1.4801220
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機構: Universiti Teknologi Malaysia
實物特徵
總結:Let G be a two-generator two-group of class two. We denote Γ(G) the undirected graph whose vertices are the non-central conjugacy classes of G in which two vertices are connected if and only if their orders are not relatively prime. In this paper, we obtain several properties of Γ(G).