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    • Induced cat1-groups 

      Alp, Murat (2001)
      In this paper we define the pullback $cat^1$-group and show that this Pullback has a right adjoint which is the induced $cat^1$-group. Later we show that this right adjoint is a pushout of category of cat1-groups. We ...
    • Left adjoint of pullback Cat1-groups 

      Alp, Murat (1999)
      In [1] we define the pullback Cat1-groups and showed that the category of pullback Cat1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat1-group has a left ...
    • Left adjoint of pullback cat1-profinite groups 

      Alp, Murat (2002)
      In this paper, we present a brief review crossed modules [9], cat1-groups[7], profinite crossed modules [6], cat1-profinite groups[6], pullback profinite crossed modules [6] and also the pullback cat1- profinite groups [2] ...
    • Pullbacks of Crossed Modules and Cat1- Commutative Algebras 

      Alp, Murat (2006)
      In this paper we first review the definitions of crossed module [10], pullback crossed module and cat1-object in the category of commutative algebras. We then describe a certain pullback of cat1- commutative algebras.
    • Pushouts of profinite crossed modules and cat1-profinite groups 

      In this paper, we presented a brief review of crossed modules [7], cat1 -groups [6], pullback crossed modules [4], pullback cat1 -group [1], profinite crossed modules [5], cat1 -profinite groups [5], pullback profinite ...
    • Some results on derivation groups 

      Alp, Murat (2000)
      In this paper we describe a share package XMOD [1]of functions for computing with finite, permutation crossed modules, their morphisms and derivations; $cat^1$-groups, their morphisms and their sections, written using the ...
    • Special cases of /cat1 -groups 

      Alp, Murat (1998)
      In this paper we describe a package XMOD [2] of functions for computing with crossed modules, their morphisms and derivations; cat-groups, their morphisms and sections, written using the GAP [5] group theory programming ...
    • Underlying groupoids 

      In this paper we describe a package XMOD [8] of functions for computing with crossed modules, their morphisms and derivations; $cat^1$-groups, their morphisms and sections, written using the GAP [7] group theory programming ...