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On subgroups normalized by the base group in monomial groups, and their centralizers

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DataCite Commons2025-05-27 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/23511/19692
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资源简介:
A large family of examples for subgroups normalized by the base group in a complete monomial group of finite degree over any group $H$ is given. This is then proven to be a complete characterization of such subgroups in the case of an abelian group $H$. Centralizer structure for this kind of subgroups, even in the non abelian case, is completely determined. Notably, separate study of the case of elementary abelian $2$-group $H$ is needed. In the last part, the results are extended to the case of limit monomial groups.
提供机构:
University of Salento
创建时间:
2021-02-18
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