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NORMAL SUBGROUPS OF GROUPS WHICH SPLIT OVER THE INFINITE CYCLIC GROUP

Published online by Cambridge University Press:  01 January 2000

MYOUNGHO MOON
MYOUNGHO MOON
Affiliation:
Department of Mathematics Education, Konkuk University, Seoul 143-701, Korea
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Abstract

Let G be either a free product with amalgamation A[midast ]CB or an HNN group A[midast ]C, where all normal subgroups of C are finitely generated. Suppose that both A and B have no non-trivial finitely generated normal subgroups of infinite indices. We show that if G contains a finitely generated normal subgroup N which intersects A or B non-trivially but is not contained in C, then the index of N in G is finite.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 1 , January 2000 , pp. 78 - 84
Copyright
© The London Mathematical Society 2000

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