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    STUDIA MATHEMATICA - Issue no. 3 / 2007  
         
  Article:   HOMOTOPIC EMBEDDINGS IN N-GROUPS.

Authors:  MONA CRISTESCU, ADRIAN PETRESCU.
 
       
         
  Abstract:  In this paper we prove necessary and sufficient conditions for homotopic embeddings of an n-groupoid in an n-group. The results ob- tained are generalization for n > 2 of the Malcev [2], [3] and Rado [4] results. We prove that an A semirectangular partial groupoid can be ho- motopic embedded in a group if and only if it is with cancellation and in A the Malcev conditions are satisfied. Also we proved that a n-groupoid can be homotopic embedded in a n-group if and only if it is with cancellation and in it all the Malcev conditions are satisfied.  
         
     
         
         
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