Semistability at \(\infty\) of finitely generated groups, and solvable groups (Q1088204)

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scientific article; zbMATH DE number 3990401
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English
Semistability at \(\infty\) of finitely generated groups, and solvable groups
scientific article; zbMATH DE number 3990401

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    Semistability at \(\infty\) of finitely generated groups, and solvable groups (English)
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    1986
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    The author extends his work [J. Pure Appl. Algebra 35, 305-320 (1985; Zbl 0589.20018)] by defining semistability at \(\infty\) for a 1-ended finitely generated group and then proving that if G is an infinite, solvable, finitely generated group, of finite rank, then G is 1-ended and semistable at \(\infty\) or 2-ended.
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    fundamental group
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    solvable group
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    semistability at \(\infty \)
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    1-ended finitely generated group
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