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A covering property of finite groups

Published online by Cambridge University Press:  17 April 2009

Rolf Brandl
Rolf Brandl
Affiliation:
Mathematisches Institut, Am Hubland, D–8700 Würzburg, Germany.
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Abstract

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Finite groups G possessing a proper subgroup U such that for each element g of G there exists an automorphism of G mapping g into U are considered. The question of how the structure of U determines the structure of G is examined. For example, if G is soluble and U is nilpotent then G is nilpotent.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 2 , April 1981 , pp. 227 - 235
Copyright
Copyright © Australian Mathematical Society 1981

References

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