Centralizer sizes and nilpotency class in Lie algebras and finite $p$-groups
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- by A. Jaikin-Zapirain
- Proc. Amer. Math. Soc. 133 (2005), 2817-2820
- DOI: https://doi.org/10.1090/S0002-9939-05-07905-0
- Published electronically: March 24, 2005
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Abstract:
In this work we solve a conjecture of Y. Barnea and M. Isaacs about centralizer sizes and the nilpotency class in nilpotent finite-dimensional Lie algebras and finite $p$-groups.References
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Bibliographic Information
- A. Jaikin-Zapirain
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
- MR Author ID: 646902
- Email: andrei.jaikin@uam.es
- Received by editor(s): May 19, 2004
- Published electronically: March 24, 2005
- Additional Notes: This work was partially supported by the MCYT Grants BFM2001-0201, BFM2001-0180, FEDER and the Ramón y Cajal Program.
- Communicated by: Jonathan I. Hall
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2817-2820
- MSC (2000): Primary 20D15; Secondary 17B30
- DOI: https://doi.org/10.1090/S0002-9939-05-07905-0
- MathSciNet review: 2159757