Complex reflections and polynomial generators of homotopy groups.
Chaves, Lucas M., Rigas, A. (1996)
Journal of Lie Theory
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Chaves, Lucas M., Rigas, A. (1996)
Journal of Lie Theory
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Boekholt, Sven (1998)
Journal of Lie Theory
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Krishnarao, G. V.
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Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong (2009)
Banach Center Publications
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In this paper, we generalize the equivariant homotopy groups or equivalently the Rhodes groups. We establish a short exact sequence relating the generalized Rhodes groups and the generalized Fox homotopy groups and we introduce Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.
Laia Saümell (1995)
Mathematische Zeitschrift
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Hans Werner Henn (1986)
Manuscripta mathematica
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Hu, Sze-Tsen (1952)
Portugaliae mathematica
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Hans Scheerer (1980)
Manuscripta mathematica
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Peter Hilton (1967)
Fundamenta Mathematicae
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Félix, Yves, Thomas, Jean-Claude (1999)
Homology, Homotopy and Applications
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Hu, Sze-Tsen (1961)
Portugaliae mathematica
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Nobumitsu Nakauchi (1993)
Manuscripta mathematica
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Danuta Kołodziejczyk (2007)
Fundamenta Mathematicae
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The notions of capacity and depth of compacta were introduced by K. Borsuk in the seventies together with some open questions. In a previous paper, in connection with one of them, we proved that there exist polyhedra with polycyclic fundamental groups and infinite capacity, i.e. dominating infinitely many different homotopy types (or equivalently, shapes). In this paper we show that every polyhedron with virtually polycyclic fundamental group has finite depth, i.e., there is a bound...