Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-20T04:14:58.650Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)