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arXiv · 2608.28291

Rota---Baxter operators on extraspecial groups

Andrey Savelyev
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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 $p^3$. We also investigate an analogue of the spectral property for Rota---Baxter operators on algebras.

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Andrey Savelyev. 2026-08-28. Rota---Baxter operators on extraspecial groups. https://arxiv.org/abs/2608.28291

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