Research Portal

Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types

Research output: Contribution to journal › Article › peer-review

Standard Standard

Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types. / Wensley, Christopher D.; Brown, Ronald.
In: Theory and application of categories, Vol. 2, 1996, p. 3-16.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Wensley, CD & Brown, R 1996, 'Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types', Theory and application of categories, vol. 2, pp. 3-16. <http://www.tac.mta.ca/tac/volumes/1996/n1/n1.pdf>

APA

Wensley, C. D., & Brown, R. (1996). Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types. Theory and application of categories, 2, 3-16. http://www.tac.mta.ca/tac/volumes/1996/n1/n1.pdf

CBE

Wensley CD, Brown R. 1996. Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types. Theory and application of categories. 2:3-16.

MLA

Wensley, Christopher D. and Ronald Brown. "Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types". Theory and application of categories. 1996, 2. 3-16.

VancouverVancouver

Wensley CD, Brown R. Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types. Theory and application of categories. 1996;2:3-16.

Author

Wensley, Christopher D. ; Brown, Ronald. / Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types. In: Theory and application of categories. 1996 ; Vol. 2. pp. 3-16.

RIS

TY - JOUR

T1 - Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types

AU - Wensley, Christopher D.

AU - Brown, Ronald

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - crossed modules, homotopy 2-types, generalized Van Kampen theorem, crossed resolution, Postnikov invariant, classifying spaces of discrete groups

M3 - Article

VL - 2

SP - 3

EP - 16

JO - Theory and application of categories

JF - Theory and application of categories

SN - 1201-561X

ER -