The existence and abundance of small bases of permutation groups

排列群小基的存在性和丰度

基本信息

  • 批准号:
    DE230100579
  • 负责人:
  • 金额:
    $ 31.4万
  • 依托单位:
  • 依托单位国家:
    澳大利亚
  • 项目类别:
    Discovery Early Career Researcher Award
  • 财政年份:
    2023
  • 资助国家:
    澳大利亚
  • 起止时间:
    2023-01-09 至 2026-01-08
  • 项目状态:
    未结题

项目摘要

This project aims to study bases for permutation groups, which are the mathematical formalisation of symmetry. Bases are crucial to encoding and computing with groups in diverse areas of science. Small bases are desirable for efficiency, but can be hard to find. This project expects to combine techniques from areas of algebra and probability to determine the existence and abundance of bases. Expected outcomes of this project include new methods to address enduring open problems in the study of bases, as well as novel applications of existing techniques. This should provide significant benefits, such as creating and strengthening international collaborations, and building on Australia’s reputation as a powerhouse of finite group theory.
这个项目旨在研究置换群的基础,这是对称性的数学形式化。基地是至关重要的编码和计算的群体在不同的科学领域。小基地是可取的效率,但很难找到。这个项目期望结合联合收割机技术,从代数和概率领域,以确定存在和丰富的基地。该项目的预期成果包括解决碱基研究中长期存在的开放性问题的新方法,以及现有技术的新应用。这应该会带来巨大的好处,比如建立和加强国际合作,以及建立澳大利亚作为有限群理论强国的声誉。

项目成果

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Dr Melissa Lee其他文献

Dr Melissa Lee的其他文献

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{{ truncateString('Dr Melissa Lee', 18)}}的其他基金

Closed-loop insulin delivery compared with islet cell transplantation for adults with type 1 diabetes and impaired awareness of hypoglycaemia
闭环胰岛素输送与胰岛细胞移植治疗成人 1 型糖尿病且低血糖意识受损的比较
  • 批准号:
    nhmrc : GNT1150537
  • 财政年份:
    2018
  • 资助金额:
    $ 31.4万
  • 项目类别:
    Postgraduate Scholarships
Elucidating the pathophysiological mechanisms leading to the development of hypertension late after repair of coarctation of the aorta: The key to decreasing premature death from hypertension after arch repair
阐明主动脉缩窄修复术后晚期高血压发生的病理生理机制:减少主动脉弓修复术后高血压过早死亡的关键
  • 批准号:
    nhmrc : GNT1134274
  • 财政年份:
    2017
  • 资助金额:
    $ 31.4万
  • 项目类别:
    Postgraduate Scholarships
Elucidating the pathophysiological mechanisms leading to the development of hypertension late after repair of coarctation of the aorta: The key to decreasing premature death from hypertension after arch repair
阐明主动脉缩窄修复术后晚期高血压发生的病理生理机制:减少主动脉弓修复术后高血压过早死亡的关键
  • 批准号:
    nhmrc : 1134274
  • 财政年份:
    2017
  • 资助金额:
    $ 31.4万
  • 项目类别:
    Postgraduate Scholarships

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阐明 USP9X-COP1 轴如何调节 RIT1 蛋白丰度并揭示肺腺癌中的药物靶标
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