Abstract
Here, we show that the simple groups PSL\((2, 2^a)\), \(a\ge 2\), are characterized by the orders of vanishing elements.
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Acknowledgements
The author is grateful to the referee for pointing out some inaccuracies in an earlier version of the paper as well as for helpful comments that greatly improved the exposition of the paper. This work is supported by the NNSF of China (11671245) and also supported by the Opening Project of Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing (2017QZJ01).
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Zhang, J. Recognition of PSL(\(\mathbf {2, 2}^{{\varvec{a}}}\)) by the orders of vanishing elements. Proc Math Sci 128, 58 (2018). https://doi.org/10.1007/s12044-018-0435-y
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DOI: https://doi.org/10.1007/s12044-018-0435-y