Finite groups in which any two elements of the same order are either fused or inverse-fused |
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Authors: | Cai Heng Li Cheryl E Praeger |
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Institution: | Department of Mathematics , University of Western Australia , Nedlands, W. A, 6907, Australia |
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Abstract: | Elements a, b of a group G are said to be fused or inverse-fused if there exists σεAut(G) such that a = bσ or a = (b-1)σ respectively. This paper gives a classification of all finite groups in which any two elements of the same order are fused orinverse-fused. |
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