Abstract:Let G be a finitely generated metabelian group whose derived group G′ has finite rank. It is shown that G can be embedded in a finitely presented metabelian group H with H′ of finite rank.
“…(see [9] for unexplained terminology). In particular, we see that a finitely generated metabelian group of finite Prufer rank can be embedded into a finitely presented metabelian group of finite Prufer rank, a result first proved by J. Boler [4].…”
Section: R(g) ^ R(g) + R O (G Ab ) = H(g) + Nmentioning
“…(see [9] for unexplained terminology). In particular, we see that a finitely generated metabelian group of finite Prufer rank can be embedded into a finitely presented metabelian group of finite Prufer rank, a result first proved by J. Boler [4].…”
Section: R(g) ^ R(g) + R O (G Ab ) = H(g) + Nmentioning
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