Characterization of Groups L2(q) by NSE Where q∈{17, 27, 29}

Citation:

Changguo SHAO,Qinhui JIANG.Characterization of Groups L2(q) by NSE Where q∈{17, 27, 29}[J].Chinese Annals of Mathematics B,2016,37(1):103~110
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Authors:

Changguo SHAO; Qinhui JIANG

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.\,11301218, 11301219), the Natural Science Foundation of Shandong Province (No.\,ZR2014AM020) and University of Jinan Research Funds for Doctors (Nos.\,XBS1335, XBS1336)
Abstract: The authors show that linear simple groups $L_2(q)$ with $q\in\{17, 27, 29\}$ can be uniquely determined by ${\rm nse}(L_2(q))$, which is the set of numbers of elements with the same order.

Keywords:

Finite groups, Orders, Simple groups, Linear groups

Classification:

20D60, 20D06
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