Residual finiteness of permutational products

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Permutational Products of Lattice Ordered Groups

Let H be a group, let {G(: i e 1} be a set of groups and, for each i, let 9t be a a monomorphism: H -* Gt, with H9t = Hi. We call such a system of groups and monomorphisms an amalgam and denote it by [G{; H; 9,; / / , ] . By an embedding of the amalgam into a group G is meant a set of monomorphisms (p; : G; -*• G such that 9i<pi = 0j<Pj-, for all i,j and G,<P; n Gjcpj — H9k<pk, for all i,j, k. ...

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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society

سال: 1969

ISSN: 1446-7887,1446-8107

DOI: 10.1017/s1446788700007679