18 citations · 34 across the 4 of their papers we have counts for
4 papers
Crossed squares and 2-crossed modules
A. Mutlu, T. Porter
Crossed squares and 2-crossed modules are both algebraic models for 3-types. This paper explores the interrelationships between these two models.
Freeness conditions for crossed squares and squared complexes
A. Mutlu, T. Porter
Following Ellis, we investigate the notion of totally free crossed squares and related square complexes. It is shown how to interpret the information in a free simplicial group giv…
Free crossed resolutions from simplicial resolutions with given CW-basis
A Mutlu, T Porter
In this paper, we examine the relationship between a CW-basis for a free simplicial group and methods of freely generating the corresponding crossed complex. Attention is concentra…
Iterated Peiffer pairings in the Moore complex of a simplicial group
A Mutlu, T Porter
We introduce a pairing structure within the Moore complex NG of a simplicial group G and use it to investigate generators for NG_n\cap D_n where D_n is the subgroup generated by de…