合群 发表于 2025-3-25 07:03:07
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,The Bieri–Strebel Theorems,ented groups with an infinite cyclic quotient: such a group is either an ascending .-extension or else contains a free group of rank 2. An immediate consequence of the second theorem is that a solvable finitely presented group is either finite or else is virtually an ascending .-extension of a finitely generated solvable group.Diverticulitis 发表于 2025-3-25 20:09:15
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Tools: Presentations and Their Calculus,We introduce group presentations, present Von Dyck’s lemma and Tietze’s theorem on their transformations. We bring in an important result by B.H. Neumann about finitely presentable groups.要控制 发表于 2025-3-26 06:58:33
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An Embedding Theorem for Finitely Generated Metabelian Groups,The theorem we present, due to G. Baumslag, is a milestone in the study of metabelian group theory and is a refinement of a 1961 result by Higman. It states that any finitely generated metabelian group can be embedded in a finitely presented metabelian group.