Abstract
The classes of locally indicable groups, conservative groups andD-groups have each been defined in a different context, and have been studied for various reasons. These three classes are shown to coincide. The corresponding mod p versions of the classes are also shown to coincide, for any prime p. Applications to topology are given. In particular, new light is shed on work of Adams on a problem of Whitehead concerning asphericity in 2-complexes.
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Supported by an SERC Postdoctoral Fellowship.
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Howie, J., Schneebeli, H.R. Homological and topological properties of locally indicable groups. Manuscripta Math 44, 71–93 (1983). https://doi.org/10.1007/BF01166075
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DOI: https://doi.org/10.1007/BF01166075