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Permutational products of lattice ordered groups1

Published online by Cambridge University Press:  09 April 2009

N. R. Reilly
N. R. Reilly
Affiliation:
Department of Mathematics Simon Fraser UniversityBritish Columbia, Canada
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Let H be a group, let {G1: i ∈ I} be a set of groups and, for each i, let θi be a a monomorphism: H → G1, with Hθ1 = H1. We call such a system of groups and monomorphisms an amalgam and denote it by [G1; H; θi; Hi]. By an embedding of the amalgam into a group G is meant a set of monomorphisms ϕi: G1 → G such that θiϕi= θjϕjfor all i, j and G1ϕi = Hθϕk, for all i, j, k.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 1 , February 1972 , pp. 25 - 34
Copyright
Copyright © Australian Mathematical Society 1972

References

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