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Presentations and resolutions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 143)

Keywords

  • Exact Sequence
  • Free Resolution
  • Normal Abelian Subgroup
  • Standard Resolution
  • Split Extension

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References

  1. Gruenberg, K.W.: Resolutions by relations, J. London Math. Soc., 35 (1960) 481–494.

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  2. Gruenberg, K.W.: The universal coefficient theorem in the cohomology of groups, J. London Math. Soc., 43 (1968).

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  3. Hopf, H.: Fundamentalgruppe und zweite Bettische Gruppe, Comm. Math. Helvetici 14 (1941/42) 257–309.

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  4. Karrass, A. and Solitar, D.: Note on a theorem of Schreier, Proc. Amer. Math. Soc. 8 (1957) 696–697.

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  5. Mac Lane, S.: Cohomology theory in abstract groups, III, Annals Math. 50 (1949) 736–761.

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  6. Schreier, O.: Die Untergruppen der freien Gruppen, Abh. Math. Sem. Hamburg 5 (1927) 161–183.

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  7. Schur, I.: Über die Darstellungen der endlichen Gruppen durch gebrochene lineare Substitutionen, Crelle 127 (1904) 20–50.

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© 1970 Springer-Verlag

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Gruenberg, K.W. (1970). Presentations and resolutions. In: Cohomological Topics in Group Theory. Lecture Notes in Mathematics, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059165

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  • DOI: https://doi.org/10.1007/BFb0059165

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04932-6

  • Online ISBN: 978-3-540-36303-3

  • eBook Packages: Springer Book Archive