Homotopy classification of 4–manifolds whose fundamental group is dihedral
نویسندگان
چکیده
We show that the homotopy type of a finite oriented Poincar\'{e} 4-complex is determined by its quadratic 2-type provided fundamental group and has dihedral Sylow 2-subgroup. By combining with results Hambleton-Kreck Bauer, this applies in case smooth 4-manifolds whose subgroup SO(3). An important class examples are elliptic surfaces group.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2022
ISSN: ['1472-2739', '1472-2747']
DOI: https://doi.org/10.2140/agt.2022.22.2915