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Abstract
In this paper we study the group of automorphisms Aut(A/P′), where A is a free product of torsion-free abelian groups, C the Cartesian subgroup of A, P ⊆ C, P ◃ A. We obtain a generalization of the Bachmuth embedding and discuss some immediate applications of the new embedding. The Fox differential calculus is also generalized.
Acknowledgments
The author is grateful to his supervisor, professor A.L. Shmelkin, for his attention to this work and useful discussions. This research was supported in part by RFBR Grants 96-01-00420, 96-15-96050, and 99-01-00894.