Classification of solvable groups with a given property

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Buein Zahra Technical University‎, ‎Buein Zahra‎, ‎Qazvin‎, ‎Iran.

2 Department of Mathematics‎, Buein Zahra Technical University‎, ‎Buein Zahra‎, ‎Qazvin‎, ‎Iran.

Abstract

In this paper we classify all finite solvable groups satisfying the following property P5: their orders of representatives are set-wise relatively prime for any 5 distinct non-central conjugacy classes.

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