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Growth rates of algebras, III: finite solvable algebras

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Abstract

We investigate how the behavior of the function d A (n), which gives the size of a least size generating set for A n, influences the structure of a finite solvable algebra A.

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Authors and Affiliations

  1. Department of Mathematics, University of Colorado, Boulder, CO, 80309-0395, USA

    Keith A. Kearnes & Ágnes Szendrei

  2. Department of Algebra and Number Theory, Loránd Eötvös University, Pázmány Péter sétány 1/c, Budapest, 1117, Hungary

    Emil W. Kiss

Authors
  1. Keith A. Kearnes
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  2. Emil W. Kiss
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  3. Ágnes Szendrei
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Corresponding author

Correspondence to Emil W. Kiss.

Additional information

Presented by P. P. Pálfy.

Dedicated to the memory of Ervin Fried

This material is based upon work supported by the Hungarian National Foundation for Scientific Research (OTKA) grant no. K83219, and K104251.

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Kearnes, K.A., Kiss, E.W. & Szendrei, Á. Growth rates of algebras, III: finite solvable algebras. Algebra Univers. 76, 199–222 (2016). https://doi.org/10.1007/s00012-016-0396-x

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  • DOI: https://doi.org/10.1007/s00012-016-0396-x

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