Abstract
It is proved that a finite group whose element order set is the same as that of an alternating group A 22 of degree 22 is isomorphic to A 22.
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ACKNOWLEDGMENTS
The authors would like to thank the referee with deep gratitude for pointing out some mistakes in a previous version of the article, especially his/her valuable suggestions on revising the article, which make the proof of theorem read smoothly and more technically.
Notes
Communicated by A. Olshanskii.