https://HanyueYi.github.io/quartz-yhyquest Last 10 notes on yhyquest Quartz -- quartz.jzhao.xyz https://HanyueYi.github.io/quartz-yhyquest/Innately-Transitive https://HanyueYi.github.io/quartz-yhyquest/Innately-Transitive Innately transitive A permutation group is innately transitive if it has a transitive minimal normal subgroup, and such a subgroup is called a plinth. Wed, 01 Apr 2026 08:09:23 GMT https://HanyueYi.github.io/quartz-yhyquest/Literature/Nodes/The-O'Nan-Scott-Theorem-for-Finite-Primitive-Permutation-Groups,-and-Finite-Representability https://HanyueYi.github.io/quartz-yhyquest/Literature/Nodes/The-O'Nan-Scott-Theorem-for-Finite-Primitive-Permutation-Groups,-and-Finite-Representability Transclude of O'Nan-Scott-Theorem#^2npqw7 Affine type Definition A group G is said to be of affine type if V^*\leqslant G\leq\mathrm{Aff}(k,p) and G is primitive for some k-dimensional vector space V over \mathbb F_p. Wed, 01 Apr 2026 08:09:23 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/Cards/Nodes/Classification-of-Quasiprimitive-Groups https://HanyueYi.github.io/quartz-yhyquest/MATH/Cards/Nodes/Classification-of-Quasiprimitive-Groups Quasiprimitive A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. Wed, 01 Apr 2026 08:09:23 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/Cards/Nodes/Finite-Geometry https://HanyueYi.github.io/quartz-yhyquest/MATH/Cards/Nodes/Finite-Geometry Definition A finite geometry (of rank 2) is a triple \mathcal S=(\mathcal P,\mathcal L, \mathrm I), where \mathcal P, \mathcal L are disjoint non-empty finite sets and \mathrm I\subseteq \mathcal P\times\mathcal L is a relation, the incidence relation. Wed, 01 Apr 2026 08:09:23 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II/Nodes/8-Finite-Geometry https://HanyueYi.github.io/quartz-yhyquest/MATH/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II/Nodes/8-Finite-Geometry Transclude of Finite-Geometry#^lsbefh Definition An incidence geometry is a pair \mathcal{G}=(\Omega,I) where \Omega is a set and I\subseteq \Omega\times \Omega is symmetric and transitive. Wed, 01 Apr 2026 08:09:23 GMT https://HanyueYi.github.io/quartz-yhyquest/Semiprimitive-Groups https://HanyueYi.github.io/quartz-yhyquest/Semiprimitive-Groups Semiprimitive A transitive permutation group is said to be semiprimitive if each normal subgroup is either transitive or semiregular. Wed, 01 Apr 2026 08:09:23 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II/Nodes/7-Hadamard-Matrices-and-Reed-Muller-Codes https://HanyueYi.github.io/quartz-yhyquest/MATH/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II/Nodes/7-Hadamard-Matrices-and-Reed-Muller-Codes Hadamard Matrices Definition A Hadamard matrix of order n is (n\times n)-matrix H with entries -1,1 such that HH^T=nI. Example. Two operations. Mon, 30 Mar 2026 13:51:08 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II https://HanyueYi.github.io/quartz-yhyquest/MATH/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II/%E7%BB%84%E5%90%88%E6%95%B0%E5%AD%A6II Notes 0 Info 1 Graphs 2 Trees 3 Colorings of graphs and Ramsey’s theorem 4 Turán-type Problems 5 Hall’s Marriage Theorem 6 Chains and Antichains 7 Hadamard Matrices and Reed-Muller Codes 8 Finite Geometry HW HW1 HW2 Todo. Mon, 30 Mar 2026 10:11:09 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/%E4%BB%A3%E6%95%B0%E4%B8%93%E9%A2%98I/Nodes/6-Inner-product--and--Schur's-orthogonality-relations https://HanyueYi.github.io/quartz-yhyquest/MATH/%E4%BB%A3%E6%95%B0%E4%B8%93%E9%A2%98I/Nodes/6-Inner-product--and--Schur's-orthogonality-relations Definition Define the following inner product on F_C(G,\mathbb{C}) as \left\langle f_1,f_2\right\rangle =\frac{1}{|G|}\sum_{g\in G}f_1(g)\overline {f_2(g)}. Wed, 25 Mar 2026 14:45:15 GMT https://HanyueYi.github.io/quartz-yhyquest/MATH/Cards/Cards%E7%9C%8B%E6%9D%BF https://HanyueYi.github.io/quartz-yhyquest/MATH/Cards/Cards%E7%9C%8B%E6%9D%BF 吹b用 something Supersolvable Group Profinite Group Subgroup Lattice Theory by Gemini the Schreier-Sims Algorithm Doing Symplectic group G2 好久之前的： Švarc-Milnor Lemma A5 is (5, 2, 3) & A4 is (3, 3, 2) Affine Group Suzuki p-group Goursat’s Lemma a Lemma of Cohomology Classification of Quasiprimitive... Wed, 25 Mar 2026 06:06:36 GMT