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Erschienen in:
Paul Erdős: Life and Work Kapitel lesen Erstes Kapitel lesen

2013 | OriginalPaper | Buchkapitel

How Abelian is a Finite Group?

verfasst von : Lásló Pyber

Erschienen in: The Mathematics of Paul Erdős I

Verlag: Springer New York

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Summary.

The first paper with the above title was written by Erdős and Straus. Here we solve one of the problems considered there by proving that every group of order n contains an abelian subgroup of order at least \({2}^{\varepsilon \sqrt{\log n}}\) for some \(\varepsilon > 0\). This result is essentially best possible.We also give a quick survey of recent developments in related areas of group theory which were greatly stimulated by questions of Erdős.

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Vorheriges Kapitel An Upper Bound for a Communication Game Related to Time-Space Tradeoffs
Nächstes Kapitel On Small Size Approximation Models
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Metadaten
Titel
How Abelian is a Finite Group?
verfasst von
Lásló Pyber
Copyright-Jahr
2013
Verlag
Springer New York
Buch
The Mathematics of Paul Erdős I

Print ISBN: 978-1-4614-7257-5

Electronic ISBN: 978-1-4614-7258-2

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-1-4614-7258-2_25