FROBENIUS

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The Essential 2-rank for Classical Groups
《Acta Mathematica Sinica,English Series》2024年第9期2169-2186,共18页Jian Bei AN Yong XU 
supported by the National Natural Science Foundation of China (Grant Nos. 11601225,11871360);the Foundation for University Young Key Teacher by He’nan Education Committee (Grant No.2020GGJS079);the China Scholarship Council;supported by the Marsden Fund (of New Zealand);via award number UOA 1626
Let G be a symplectic or orthogonal group defined over a finite field with odd characteristic and let D≤G be a Sylow 2-subgroup.In this paper,we classify the essential 2-subgroups and determine the essential 2-rank o...
关键词：Frobenius category conjugation families essential 2-rank symplectic groups orthogonal groups 
Derivatives of Frobenius and Derivatives of Hodge–Tate Weights
《Acta Mathematica Sinica,English Series》2021年第1期1-34,共34页Bing Yong XIE 
the National Natural Science Foundation of China(Grant No.11671137)。
In this paper we study the derivatives of Frobenius and the derivatives of Hodge–Tate weights for families of Galois representations with triangulations.We generalize the Fontaine–Mazur L-invariant and use it to bui...
关键词：Fontaine–Mazur L-invariant Galois representation 
Semistability of Frobenius Direct Image of Representations of Cotangent Bundles
《Acta Mathematica Sinica,English Series》2018年第11期1677-1691,共15页Ling Guang LI 
Supported by National Natural Science Foundation of China(Grant No.11501418);Shanghai Sailing Program(Grant No.15YF1412500)
Let k be an algebraically closed field of characteristic p 〉 0, X a smooth projective variety over k with a fixed ample divisor H, FX：X → X the absolute Frobenius morphism on X. Let E be a rational GLn（k）-bundle ...
关键词：SEMISTABILITY principal bundle Probenius morphism cotangent bundle 
A Khovanov Type Link Homology with Geometric Interpretation
《Acta Mathematica Sinica,English Series》2016年第4期393-405,共13页Mei Li ZHANG Feng Chun LEI 
Supported by NSFC(Grant Nos.11329101 and 11431009)
We study a Khovanov type homology close to the original Khovanov homology theory from Frobenius system.The homology is an invariant for oriented links up to isotopy by applying a tautological functor on the geometric ...
关键词：Frobenius system TQFT Khovanov homology 
Typical Frobenius Coverings
《Acta Mathematica Sinica,English Series》2010年第11期2209-2214,共6页Yan WANG Rong Quan FENG Jaeun LEE 
Supported by National Natural Science Foundation of China (Grant Nos.10571005 and 10801114);Natural Science Foundation of Shandong Province (Grant No.Y2007A30);Shan Dong Domestic Visiting Project
A covering p from a Cayley graph Cay（G, X） onto another Cay（H, Y） is called typical Frobenius if G is a Frobenius group with H as a Frobenius complement and the map p ： G →H is a group epimorphism. In this paper...
关键词：Frobenius group typical Frobenius covering ISOMORPHIC 
On the Edge-forwarding Indices of Frobenius Graphs
《Acta Mathematica Sinica,English Series》2006年第6期1735-1744,共10页Yan WANG Xin Gui FANG D. F. HSU 
The first two authors are supported by the Natural Science Foundation(No.10571005)and RFDP of China
A G-Frobenius graph F, as defined by Fang, Li, and Praeger, is a connected orbital graph of a Frobenius group G = K × H with Frobenius kernel K and Frobenius complement H. F is also shown to be a Cayley graph, F = Ca...
关键词：Frobenius graph NETWORKS edge-forwarding index 
On Maximal Injectivity被引量：3
《Acta Mathematica Sinica,English Series》2005年第6期1451-1458,共8页Ming Yi WANG Guo ZHAO 
the Natural Science Foundation of Education Department of Sichuan Province.and the Youth Science Foundation of Sichuan Province
A right R-module E over a ring R is said to be maximally injective in case for any maximal right ideal m of R, every R-homomorphism f ： m → E can be extended to an R-homomorphism f^1 ： R → E. In this paper, we fir...
关键词：Maximal injectivity Quasi-Frobenius rings Faith＇s conjecture 
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