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A remark on a formula of Zassenhaus

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Abstract

Using the decomposition principle in groups of coalgebra morphisms we give a simple proof of a theorem of H. J. Baues related to an identity of Zassenhaus in algebras of prime characteristic p>0.

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References

  1. Baues, H. J., ‘Commutator calculus and groups of homotopy classes’, London Math. Soc. Lecture Note Series 50. Cambridge Univ. Press, Cambridge, 1981.

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  2. Scheerer, H. and Schuch, K., ‘Groups of coalgebra morphisms and the Zassenhaus formulae’, Geom. Dedicata 35 (1990), 177–191.

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  3. Zassenhaus, H., ‘Über Lie'sche Ringe mit Primzahlcharakteristik’, Abhandlungen Math. Sem. Hans. Univer. 13 (1940), 1–100.

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Authors and Affiliations

  1. Mathematisches Institut, Arnimallee 2-6, D-1000, Berlin 33, Germany

    Hans Scheerer & Klaus Schuch

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  1. Hans Scheerer
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  2. Klaus Schuch
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Scheerer, H., Schuch, K. A remark on a formula of Zassenhaus. Geom Dedicata 39, 229–231 (1991). https://doi.org/10.1007/BF00182296

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  • DOI: https://doi.org/10.1007/BF00182296

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