Rota---Baxter operators on extraspecial groups
Andrey Savelyev
Abstract
Theory of Rota--Baxter operators on rings and algebras has been developed since 1960. In 2021, L. Guo, H. Lang, Y. Sheng have defined the notion of Rota---Baxter operator on a group. We classify all Rota---Baxter operators on the finite Heisenberg group and the extraspecial group of order p3. We also investigate an analogue of the spectral property for Rota---Baxter operators on algebras.
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