Submitted.

Accepted for publication in Contemporary Math.

Submitted, June 2013. Referee report received July 2014. Revision posted July 2015

Fundamenta Mathematicae, 207 (2010), no. 1, 29--70.

Algebraic & Geometric Topology 8 (2008) 173-210

Journal für die reine und angewandte Mathematik (Crelle's Journal) 604 (2007) pp. 73-136.

Journal of Pure and Applied Algebra 190 (2004) 137-153.

Originally titled "Identification of Infinite Loop Spaces Arising from Group Theory"

- Extensions of Maps from Suspensions of Finite Projective Spaces

Last change: Sept 25, 2003.