Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic $K$-theory
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 27 (1975) no. 3, pp. 303-324
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			Using the homotopy groups of pseudosimplicial groups, we construct nonabelian derived functors with values in the category of groups. This enables us to obtain algebraic $K$-theory in the category of associative rings as the theory of left derived functors of the covariant functor $GL$.
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      @article{SM_1975_27_3_a0,
     author = {Kh. N. Inasaridze},
     title = {Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic $K$-theory},
     journal = {Sbornik. Mathematics},
     pages = {303--324},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1975_27_3_a0/}
}
                      
                      
                    Kh. N. Inasaridze. Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic $K$-theory. Sbornik. Mathematics, Tome 27 (1975) no. 3, pp. 303-324. http://geodesic.mathdoc.fr/item/SM_1975_27_3_a0/
