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arXiv · 2604.17483

Permutation, stabilization and decomposition

Paul Balmer·Martin Gallauer
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Abstract

Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove that this category decomposes over cyclic and generalized quaternion groups and only in those cases.

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Paul Balmer, Martin Gallauer. 2026-04-19. Permutation, stabilization and decomposition. https://arxiv.org/abs/2604.17483

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