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Groups acting on a set whose orbits are all singleton

Published online by Cambridge University Press:  17 April 2009

M. R. Pournaki
M. R. Pournaki
Affiliation:
Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365–9415, Tehran, Iran e-mail: pournaki@ipm.ir
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In this article using techniques which appeared in Witt's proof of Wedderburn's theorem, an arithmetical characterisation of groups acting on a set whose orbits are all singleton is given. This can then be used to obtain a new proof of Wedderburn's theorem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 231 - 234
Copyright
Copyright © Australian Mathematical Society 2006

References

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[5]Witt, E., ‘Über die Kommutativität Endlicher Schiefkörper’, Abh. Math. Sem. Hamburg 8 (1931), 413.CrossRefGoogle Scholar