Abstract
We investigate how certain arithmetical conditions on the conjugacy class lengths of all elements of prime power or biprimary orders of G influence the p-structure of G. In particular, the structure of p-complements of G is described. Some results in [1] and [2] are generalized.
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Original Russian Text Copyright © 2010 Kong Q. J. and Guo X. Y.
The authors were supported by the National Natural Science Foundation of China (Grant 10771132), the SGRC (Grant GZ310), and the Research Grant of Shanghai University and the Shanghai Leading Academic Discipline (No. J50101).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 2, pp. 352–356, March–April, 2010.
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Kong, Q., Guo, X. On the conjugacy class lengths of finite groups. Sib Math J 51, 286–288 (2010). https://doi.org/10.1007/s11202-010-0028-1
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DOI: https://doi.org/10.1007/s11202-010-0028-1