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A new graph related to conjugacy classes of finite groups

Xingzhong You·Guohua Qian·Wujie Shi
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Abstract

In this paper we classify the finite groups satisfying the following property $P_4$: their orders of representatives are set-wise relatively prime for any 4 distinct non-central conjugacy classes.

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Xingzhong You, Guohua Qian, Wujie Shi. 2005-10-02. A new graph related to conjugacy classes of finite groups. https://arxiv.org/abs/math/0510015

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