Abstract
We consider a functional equation which is a generalization of Whitehead’s functional equation on groups. We present its general solution on free groups. Solutions on other selected groups are also given.
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The author is most grateful to the anonymous referee for the careful reading of the manuscript and valuable suggestions.
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This work was partially supported by the National Natural Science Foundation of China (Grant No. 11971081), Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN201900525), the Natural Science Foundation of Chongqing(Grant No. cstc2020jcyj-msxmX0857), Research Project of Chongqing Education Commission (Grant No. CXQT21014)
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Zhao, H.Y., Luo, Y. A functional equation related to Whitehead’s equation on groups. Aequat. Math. 97, 329–340 (2023). https://doi.org/10.1007/s00010-022-00898-y
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DOI: https://doi.org/10.1007/s00010-022-00898-y