Zobrazeno 1 - 10
of 1 314
pro vyhledávání: '"Cai, Heng"'
A coset geometry representation of regular dessins is established, and employed to describe quotients and coverings of regular dessins and surfaces. A characterization is then given of face-quasiprimitive regular dessins as coverings of unicellular r
Externí odkaz:
http://arxiv.org/abs/2409.01979
A positive integer $m$ is called a Hall number if any finite group of order precisely divisible by $m$ has a Hall subgroup of order $m$. We prove that, except for the obvious examples, the three integers $12$, $24$ and $60$ are the only Hall numbers,
Externí odkaz:
http://arxiv.org/abs/2408.03184
By developing a tangible way to decompose unipotent radicals into irreducible submodules of Singer cycles, we achieve a classification of solvable factors of finite classical groups of Lie type. This completes previous work on factorizations of class
Externí odkaz:
http://arxiv.org/abs/2407.12416
Let $G\leqslant\mathrm{Sym}(\Omega)$ be a finite transitive permutation group with point stabiliser $H$. We say that a subgroup $K$ of $G$ is a fixer if every element of $K$ has fixed points, and we say that $K$ is large if $|K| \geqslant |H|$. There
Externí odkaz:
http://arxiv.org/abs/2404.18753
Autor:
Mandal, Debayan, Zou, Lei, Wilkho, Rohan Singh, Abedin, Joynal, Zhou, Bing, Cai, Heng, Baig, Furqan, Gharaibeh, Nasir, Lam, Nina
In an era of increased climatic disasters, there is an urgent need to develop reliable frameworks and tools for evaluating and improving community resilience to climatic hazards at multiple geographical and temporal scales. Defining and quantifying r
Externí odkaz:
http://arxiv.org/abs/2404.09463
Autor:
Lin, Binbin, Zou, Lei, Yang, Mingzheng, Zhou, Bing, Mandal, Debayan, Abedin, Joynal, Cai, Heng, Ning, Ning
The COVID-19 pandemic has changed human life. To mitigate the pandemic's impacts, different regions implemented various policies to contain COVID-19 and residents showed diverse responses. These human responses in turn shaped the uneven spatial-tempo
Externí odkaz:
http://arxiv.org/abs/2404.10013
A locally primitive 2-design is a 2-design admitting an automorphism group $G$ with primitive local actions. It is proved that $G$ is point-primitive, and either $G$ is an almost simple group, or $G$ acting on the points is an affine group.
Externí odkaz:
http://arxiv.org/abs/2403.16822
Autor:
Li, Cai Heng, Zhu, Yan Zhou
A complete classification is given of finite groups whose elements are partitioned into three orbits by the automorphism groups, solving the long-standing classification problem initiated by G.\,Higman in 1963. As a consequence, a classification is o
Externí odkaz:
http://arxiv.org/abs/2403.01725
We classify the factorizations of finite classical groups with nonsolvable factors, completing the classification of factorizations of finite almost simple groups.
Externí odkaz:
http://arxiv.org/abs/2402.18373
Autor:
Li, Cai Heng, Zhu, Yan Zhou
Building upon previous results, a classification is given of finite $p$-groups of which subgroups of order $p$ are all fused. This completes the classification problem dated back to Higman 1963 on the so-called Suzuki $2$-groups, and confirms a conje
Externí odkaz:
http://arxiv.org/abs/2312.16416