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Original Articles

N-Crossed Extensions of Crossed Modules

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Pages 5525-5551 | Received 01 Jun 2002, Published online: 31 Aug 2006

References

  • Baues , H. J. 1991 . Combinatorial Homotopy and 4-Dimensional Complexes De Gruyter .
  • Beyl , F. R. and Tappe , J. 1982 . Group Extensions, Representations, and the Schur Multiplicator , Lecture Notes in Math. Vol. 958 , Berlin-New York : Springer-Verlag .
  • Ellis , G. J. 1988 . Crossed modules . Irish Math. Soc. Bull. , 21 : 29 – 37 .
  • Ellis , G. J. 1992 . Homology of 2-types . J. London Math. Soc. (2) , 40 ( 1 ) : 1 – 27 .
  • Guin-Walery , D. and Loday , J.-L. 1981 . “ Obstruction à l'excision en K-théorie algébrique ” . In Evanston Conference on Algebraic K-Theory 1980 , Lecture Notes in Math. 854 Edited by: Friedlander , E. H. and Stein , M. R. 179 – 216 . Berlin : Springer .
  • Hilton , P. J. and Stammbach , U. 1971 . A Course in Homological Algebra , Graduate Texts in Mathematics Vol. 4 , Springer-Verlag .
  • Holt , D. F. 1979 . An interpretation of the cohomology groups H n (G, M) . J. Algebra , 60 : 307 – 320 .
  • Huesbschmann , J. 1980 . Crossed n-fold extensions of groups and cohomology . Comment. Math. Helvetici , 55 : 302 – 314 .
  • Ladra , M. and R-Grandjeán , A. 1994 . Crossed modules and homology . J. Pure Appl. Algebra , 95 : 41 – 55 .
  • Lluis-Puebla , E. 1990 . Algebra Homológica, Cohomología de grupos and K-teoría algebraica clásica Addison-Wesley Iberoamericana .
  • Mitchell , B. 1969 . Theory of categories Academic Press .
  • Norrie , K. J. 1987 . Crossed Modules and Analogues of Group Theorems Ph.D. thesis, University of London
  • Norrie , K. J. 1990 . Actions and automorphisms of crossed modules . Bull. Soc. Math. France , 118 : 129 – 146 .
  • Ratcliffe , J. G. 1980 . Crossed extensions . Trans. Am. Math. Soc. , 257 ( 1 ) : 73 – 89 .
  • Rotman , J. 1979 . An Introduction to Homological Algebra Academic Press .
  • Vieites , A. M. and Casas , J. M. 1999 . Derivations of crossed modules . Extracta Mathematicae , 14 ( 1 ) : 63 – 67 .
  • Wu , Y.-C. 1978 . H 3(G, A) and obstruction of group extensions . J. Pure Appl. Algebra , 12 : 93 – 100 .

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