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On embeddable finite amalgams of groups

Published online by Cambridge University Press:  18 May 2009

Abdul Majeed
Abdul Majeed
Affiliation:
University of the Punjab, Lahore, Pakistan
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In this paper, a problem of B. H. Neumann and Hanna Neumann [7] about the finite embeddability of an embeddable finite amalgam is discussed. After proving a “reduction theorem” for a finite amalgam to have a finite embedding, we examine some known embeddable amalgams (cf. [3]) as regards their embeddability in a finite group. Since the existence of the generalised free product and the embeddability of an amalgam are synonymous terms, Theorem 3.1 generalises a result in [4]. A sufficient condition for an amalgam of type S to have a finite embedding is also given.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 2 , September 1972 , pp. 135 - 141
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

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