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Variable Degeneracy of Planar Graphs without Chorded 6-Cycles: 《Acta Mathematica Sinica,English Series》2024年第11期2735-2750,共16页Hui Hui FANG Dan Jun HUANG Tao WANG Wei Fan WANG; supported by NSFC(Grant Nos.12171436 and 12371360);supported by NSFC(Grant No.12031018);NSFSD(Grant No.ZR2022MA060)。; A cover of a graph G is a graph H with vertex set V(H)=∪_(v∈V(G))L_(v),where L_(v)={v}×[s],and the edge set M=∪_(uv∈E(G))M_(uv),where Muv is a matching between L_(u) and L_(v).A vertex set T⊆V(H)is a transversal ...; 关键词：Variable degeneracy DP-coloring list coloring planar graph

P-symmetric Subharmonic Solutions for Nonlinear Hamiltonian Systems: 《Acta Mathematica Sinica,English Series》2024年第6期1388-1408,共21页Duan Zhi ZHANG Zhi Hao ZHAO; partially supported by National Key R&D Program of China(Grant No.2020YFA0713300);NSFC Grants(Grant Nos.17190271 and 11171341);LPMC of Nankai University;partially supported by the NSFC Grants(Grant Nos.12171253 and 17190271);LPMC of Nankai University。; In this paper,we prove that for each positive k≡1 mod m there exists a P-symmetric kmτ-periodic solution xk for asymptotically linear mτ-periodic Hamiltonian systems,which are nonautonomous and endowed with a P-sym...; 关键词：P-symmetric subharmonic Hamiltonian systems Maslov-type index theory iteration inequality asymptotically linear

On P-sober Spaces: 《Acta Mathematica Sinica,English Series》2023年第9期1768-1780,共13页Yu Jing Zhang Bin Zhao; Supported by the National Natural Science Foundation of China(Grant No.11531009)。; In this paper,we focus on p-sober spaces and prove that(1)the To space X is p-sober if and only if the Smyth power space of X is p-sober;(2)the space X has a p-sober dcpo model if and only if X is T_(1)and p-sober;(3)...; 关键词：P-sober dcpo poset model of topological space p-sobrification

Engel Condition and p-nilpotency of Finite Groups: 《Acta Mathematica Sinica,English Series》2021年第9期1465-1470,共6页Lei WANG Zheng Tian QIU Shou Hong QIAO; the support from NSF of China(Grant No.12061083);EDF of Yunnan Province(Grant No.2019J0026);NSF of Yunnan Province(Grant No.202101AT070023);the support from NSF of China(Grants Nos.12071093,12026212);NSF of Guangdong Province(Grant No.2021A1515010217)。; Let G be a finite group,and let P be a Sylow p-subgroup of G.Under the hypothesis that NG(P)is p-nilpotent,we provide some conditions to give a p-nilpotency criterion of finite groups by Engel condition,which improves...; 关键词：Finite group p-nilpotency Engel condition p-nilpotent residual

A Note on Critical p-adic L-functions: 《Acta Mathematica Sinica,English Series》2021年第1期121-141,共21页Yi Wen DING; EPSRC(Grant No.EP/L025485/1)and(Grant No.7101500268)from Peking University。; We study the adjunction property of the Jacquet–Emerton functor in certain neighborhoods of critical points in the eigencurve.As an application,we construct two-variable p-adic L-functions around critical points via ...; 关键词：p-adic L-function eigencurve critical p-stabilization Jacquet–Emerton functor

On σ-semipermutable Subgroups of Finite Groups被引量：2: 《Acta Mathematica Sinica,English Series》2018年第9期1379-1390,共12页Wen Bin GUO Alexander N. SKIBA; Supported by NNSF(Grant No.11771409);Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences; Let a = {σi｜ i ∈ I} be some partition of the set of all primes P, G a finite group and σ（G） = {σi｜σi ∩ π （G） ≠ Ф}. A set H of subgroups of G is said to be a complete Hall or-set of G if every member ≠...; 关键词：Finite group Hall subgroup p-soluble group p-supersoluble group σ-semipermutable subgroup

A Class of Finite Resistant p-Groups: 《Acta Mathematica Sinica,English Series》2017年第5期725-730,共6页He Guo LIU Yu Lei WANG; Supported by NSFC(Grant Nos.11371154,11301150 and 11601121);Natural Science Foundation of Henan Province of China(Grant Nos.142300410134,162300410066); A finite p-group P is called resistant if, for any finite group G having P as a Sylow p-group,the normalizer N_G(P) controls p-fusion in G. Let P be a central extension as 1→ Z_(p^m)→ P→ Z_p × · · · × Z_p→1,a...; 关键词：Finite p-groups symplectic groups FUSED p-centric

The Approximation Properties Determined by Operator Ideals: 《Acta Mathematica Sinica,English Series》2017年第3期311-326,共16页Dong Yang CHEN Lei LI; supported by the Natural Science Foundation of Fujian Province of China(Grant No.2015J01026);supported by the NSF of China(Grant No.11301285); We introduce the notion of the right approximation property with respect to an operator ideal A and solve the duality problem for the approximation property with respect to an operator ideal ,4, that is, a Banach spac...; 关键词：Approximation property operator ideals bounded approximation property A-p-compactsets

New Results on Nonexistence of Perfect p-Ary Sequences and Almost p-Ary Sequences: 《Acta Mathematica Sinica,English Series》2016年第1期2-10,共9页Hai Ying LIU Ke Qin FENG; supported by the Tsinghua National Lab.for Information Science and Technology; Complex periodical sequences with lower antocorrelation values are used in CDMA comnmnieation systems and cryptography. In this paper we present new nonexistence results on perfect p-ary sequences and almost p-ary seq...; 关键词：Perfect sequence p-ary and almost p-ary sequence difference set cyclotomic field imag-inary quadratic field

The Generalized L_p-Mixed Affine Surface Area: 《Acta Mathematica Sinica,English Series》2015年第11期1775-1788,共14页Tong Yi MA; Supported by National Natural Science Foundation of China(Grant Nos.11161019 and 11371224);the Science and Technology Plan of the Gansu Province(Grant No.145RJZG227); Abstract In this article, we put forward the concept of the （i,j）-type Lp-mixed alpine surface area, such that the notion of Lp-affine surface area which be shown by Lutwak is its special cases. Furthermore, applyin...; 关键词：Convex body star body i-th Lp-mixed curvature function i-th Lp-mixed curvature im-age （i j）-type Lp-mixed affine surface area

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