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A property of subgroups of free groups

Published online by Cambridge University Press:  17 April 2009

Gerhard Rosenberger
Gerhard Rosenberger
Affiliation:
Fachbereich Mathematik, Universität Dortmund, Postfach 50 05 00, Federal Republic of Germany
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Let F be a free group on a1,…, ap (p ≥ 1), and X a finitely generated subgroup in F. Suppose either that X contains some non-trivial power of , or that p is even and X contains some nontrivial power of [a1, a2]…[ap−1, ap]. We discuss some properties of X which we can derive from this assumption.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 269 - 272
Copyright
Copyright © Australian Mathematical Society 1991

References

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