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Study reveals Borel fixedness properties of transfer ideals for finite groups, suggesting stability in their submodules.
We study the initial ideal of the ideal of transfers for a finite group with respect to the graded reverse lexicographic order. We prove that the Borel fixedness property of this ideal passes to that of submodules, i.e., if this ideal is Borel fixed for a module, then it stays Borel fixed for all its submodules. We also prove a partial converse.
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Bekir Danış (2026) studied this question.
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