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A proof of Higgins's conjecture

Published online by Cambridge University Press:  17 April 2009

Gábor Braun
Gábor Braun
Affiliation:
Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Reáltanoda u 13–15, H-1053
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Let be a group homomorphism between free products of groups such that GλΘ = Bλ for all λ ∈ Λ. Let H ⊆ G be a subgroup such that HΘ = B. Then such that HλΘ = Bλ and where Fλ is free.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 207 - 212
Copyright
Copyright © Australian Mathematical Society 2004

References

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[3]Higgins, P.J., Notes on categories and groupoids, Van Nostrand Reinhold Mathematical Studies 32 (Van Nostrand Reinhold Co., London, 1971).Google Scholar
[4]Ordman, E.T., ‘On subgroups of amalgamated free products’, Proc. Cambridge Philos. Soc. 69 (1971), 13–23.Google Scholar