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Computing Crossed Modules Induced By An Inclusion Of A Normal Subgroup, With Applications To Homotopy 2-Types
, 1996
"... We obtain some explicit calculations of crossed Q-modules induced from a crossed module over a normal subgroup P of Q. By virtue of theorems of Brown and Higgins, this enables the computation of the homotopy 2-types and second homotopy modules of certain homotopy pushouts of maps of classifying ..."
Abstract
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Cited by 16 (13 self)
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We obtain some explicit calculations of crossed Q-modules induced from a crossed module over a normal subgroup P of Q. By virtue of theorems of Brown and Higgins, this enables the computation of the homotopy 2-types and second homotopy modules of certain homotopy pushouts of maps of classifying spaces of discrete groups.
Free crossed resolutions of groups and presentations of modules of identities among relations
, 2008
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Computations and homotopical applications of induced crossed modules
- J. Symb. Comp
"... We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues involved in computing induced crossed modules and give some examples and applications. ..."
Abstract
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Cited by 10 (8 self)
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We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues involved in computing induced crossed modules and give some examples and applications.
