Abstract
We prove that if a nilpotent group A acts coprimely on a solvable group G, then A has a “large” orbit in its corresponding action on the set of ordinary complex irreducible characters of G.
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Acknowledgements
This work was partially supported by NSFC (No 11671063), the Natural Science Foundation of Chongqing (cstc2016jcyjA0065, cstc2018jcyjAX0060), and a grant from the Simons Foundation (No 499532).
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Presented by: Radha Kessar
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Yang, Y. On Nilpotent Group Actions on the Characters of Solvable Groups. Algebr Represent Theor 23, 1–6 (2020). https://doi.org/10.1007/s10468-018-9834-0
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DOI: https://doi.org/10.1007/s10468-018-9834-0