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Minimal Cockcroft subgroups

1994
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Glasgow Mathematical Journal
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Statement of results. Consider any group G. A [G, 2]-complex is a connected 2-dimensional CW-complex with fundamental group G. If X is a [G, 2]-complex and L is a subgroup of G, let X L denote the covering complex of X corresponding to the subgroup L. We say that a [G, 2]-complex is L-Cockcroft if the Hurewicz map h L :ji 2 (X)-*H 2 (X L ) is trivial. In case L = G we call X Cockcroft. There are interesting classes of 2-complexes that have the Cockcroft property. A [G, 2]-complex X is

doi:10.1017/s0017089500030585
fatcat:r3jnwj34ubeufdkghjmpukkcie