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ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II

Published online by Cambridge University Press:  01 August 2018

JULIAN BROUGH
Affiliation:
Bergische Universität Wuppertal, Gaußstr. 20, 42119 Wuppertal, Germany email julian.m.a.brough@gmail.com
QINGJUN KONG
Affiliation:
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, PR China email kqj2929@163.com
Corresponding

Abstract

The first author [J. Brough, ‘On vanishing criteria that control finite group structure’, J. Algebra458 (2016), 207–215] has shown that for certain arithmetical results on conjugacy class sizes it is enough to consider only the vanishing conjugacy class sizes. In this paper we further weaken the conditions to consider only vanishing elements of prime power order.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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Footnotes

The first author gratefully acknowledges financial support by the ERC Advanced Grant 291512 and the Alexander von Humboldt Fellowship for Postdoctoral Researchers. The research of the second author is supported by the National Natural Science Foundation of China (11301378).

References

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ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II
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