Turkish Journal of Mathematics
Abstract
We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed $n$- cube from an $n$-simplicial group in terms of these pairings. We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.
DOI
10.3906/mat-1912-75
Keywords
Bisimplicial groups, crossed modules, crossed squares, crossed complexes
First Page
360
Last Page
386
Recommended Citation
ALANSAL, Ö. G, & ULUALAN, E (2021). Peiffer pairings in multisimplicial groups and crossed $n$-cubes and applications for bisimplicial groups. Turkish Journal of Mathematics 45 (1): 360-386. https://doi.org/10.3906/mat-1912-75
