The Schur multiplicator of metacyclic groups
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- by F. Rudolf Beyl PDF
- Proc. Amer. Math. Soc. 40 (1973), 413-418 Request permission
Addendum: Proc. Amer. Math. Soc. 43 (1974), 251-252.
Abstract:
The Schur multiplicator ${H_2}G$ of a (finite) metacyclic group $G$ is computed with the help of the Lyndon spectral sequence. The order of ${H_2}G$ is a useful invariant of $G$. A metacyclic group with vanishing Schur multiplicator can be presented with two generators and two relators. A simple description of the totality of these groups is given and all such $p$-groups are classified.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 413-418
- MSC: Primary 20D10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0325759-7
- MathSciNet review: 0325759