Abstract We explore conditions for the Frobenius–Wielandt morphism to commute with the operations of deflation and tensor induction on the Burnside ring. In doing this, we review the commutativity with induction. The techniques used for induction and tensor induction no longer work for deflation, so, in this case, we make use of tools coming from the theory of biset functors.

中文翻译：

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Frobenius-Wielandt 态射的紧缩和张量归纳

摘要 我们探索了 Frobenius-Wielandt 态射与 Burnside 环上的紧缩和张量归纳运算交换的条件。在这样做时，我们用归纳来回顾交换性。用于归纳和张量归纳的技术不再适用于通货紧缩，因此，在这种情况下，我们使用来自双集函子理论的工具。