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- W2024577038 abstract "This paper is devoted to the study of the Baer invariants and approximation properties of crossed modules and cat-groups. Conditions are considered under which the kernels of crossed modules coincide with the intersection of the lower central series. An algebraic criterion for asphericity is produced for two-dimensional complexes having aspherical plus-construction. As a consequence it is shown that a subcomplex of an aspherical two-dimensional complex is aspherical if and only if its fundamental cat-group is residually soluble. Thus, a new formulation in group-theoretic terms is given to the Whitehead asphericity conjecture.Bibliography: 25 titles." @default.
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- W2024577038 date "2007-04-30" @default.
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- W2024577038 title "Asphericity and approximation properties of crossed modules" @default.
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- W2024577038 doi "https://doi.org/10.1070/sm2007v198n04abeh003847" @default.
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