In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.
ARVASİ, Z. (1998) "From Simplicial Groups to Crossed Complexes," Turkish Journal of Mathematics: Vol. 22: No. 2, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol22/iss2/6