Georgian Mathematical Journal 13 (2006), No. 4, 807--812
Copyright Heldermann Verlag 2006
Coprimeness among Element Orders of Finite Groups
Xingzhong You
College of Mathematics and Computing, Changsha University of Science and Technology, Changsha, Hunan 410077, P. R. China
xzyou2003@yahoo.com.cn
We classify the finite groups satisfying the following property P3: every three distinct orders of elements are setwise relatively prime.
Keywords: Finite group, element order, prime graph, simple group.
MSC: 20D60, 20E34
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