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English(EN) A Finite E-Group of Nilpotency Class Three

数学家证明一个有限群是 E-群

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员已证明一个特定的有限群，即阶为 3^84 的 3-群，是一个 E-群。这个群由 Abdollahi 和 O'Brien 等数学家先前研究过，它具有每个元素都与其内射像可交换的性质。该证明涉及分析群的结构，特别是其商群 V，并证明内射映射要么在 V 上是可逆地作用，要么是平凡地作用，最终满足 E-群的条件。 AI

排序理由 该集群包含一篇详细的数学证明的学术论文。[lever_c_demoted from research: ic=1 ai=0.1]

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数学家证明一个有限群是 E-群

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该集群包含一篇详细的数学证明的学术论文。[lever_c_demoted from research: ic=1 ai=0.1]
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Xinan Dai, Wenhao Deng, Yidong Shi, Tailin Wu, Yuchen Yang ·

    幂零类三有限的E群

    arXiv:2608.07275v1 Announce Type: cross Abstract: A group is an E-group if every element commutes with each of its endomorphic images. Caranti asked whether a finite E-group can have nilpotency class three. We prove that the $3$-group of order $3^{84}$ introduced by Abdollahi, Fa…

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