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Domination of blocks, fusion systems and hyperfocal subgroups
Journal of Algebra ( IF 0.8 ) Pub Date : 2020-05-01 , DOI: 10.1016/j.jalgebra.2019.11.037
Tiberiu Coconeţ , Constantin-Cosmin Todea

Abstract We aim in this paper to investigate the connections between some properties of blocks and of their dominating blocks. We find conditions to verify that a block is inertial if and only if its dominating block is inertial. In some situations the equality of the factor fusion systems associated with a block and with its Brauer correspondent block give information about the hyperfocal subgroups.

中文翻译:

块、融合系统和超焦亚组的支配地位

摘要 我们在本文中旨在研究块的某些属性与其主导块之间的联系。我们找到条件来验证一个块是惯性的,当且仅当其主导块是惯性的。在某些情况下,与块相关联的因子融合系统及其 Brauer 对应块的相等性提供了有关超焦子群的信息。
更新日期:2020-05-01
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