Geometrical Approach to the Free Solvable Groups
نویسندگان
چکیده
We give a topological interpretation of the free metabelian group, following the plan described in [Ver1],[Ver2]. This interpretation is based on considering the Cayley graph of a finitely generated group as a one-dimensional complex, its homology group with induced action of the group, and the corresponding extension of the homology group determined by the canonical cocycle. We also define satellite solvable groups. Our method can be applied to arbitrary solvable groups.
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ورودعنوان ژورنال:
- IJAC
دوره 15 شماره
صفحات -
تاریخ انتشار 2005