报告题目:SYMMETRIC POLYTOPES WHOSE AUTOMORPHISM GROUPS ARE 2-GROUP(2)
报告时间:2025年12月12日下午16:00 -18:00
报告地点:北区4号教学楼208报告厅
报告摘要:The present work investigates regular, semiregular, and chiral polytopes of any rank d ≥ 3, whose automorphism groups are 2-groups. There is a large variety of rather small finite regular or alternating semiregular polytopes with automorphism groups of 2 power order: for such polytopes with toroidal sections of rank 3, the various sections of rank 3 can be entirely prescribed (possibly with one exception in the semiregular case). It is also shown that having a 2-group as automorphism group is hereditary under taking universal extensions: the universal extension of a given regular, chiral, or alternating semiregular polytope with a finite or infinite 2-group as automorphism group, is a polytope of one rank higher with an infinite 2-group an automorphism group.
报告人简介:Egon Schulte,美国Northeastern University教授,Egon教授是多面体方面国际顶尖专家。截止2024年初共发表高水平科研文章97篇,其中多数发表在相关领域顶级期刊上,如组合领域顶级刊物JCTA上6篇,离散几何顶级期刊DCG上8篇,几何领域顶级期刊Adv. Geom两篇等,另外发表在著名综合类刊物Trans. Amer. Math. Soc.上4篇,Proc. London Math. Soc.上2篇,Adv. Math.上4篇。Egon教授在多个方向上获得了杰出成果,如凸多面体,离散几何,群论等。
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