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A Hopf Type Classification Theorem for Isovariant Maps from Free G-manifolds to Representation Spheres 被引量:1
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作者 Ikumitsu NAGASAKI Fumihiro USHITAKI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第4期685-700,共16页
An isovariant map is an equivariant map preserving the isotropy subgroups. In this paper, we develop an isovariant version of the Hopf classification theorem; namely, an isovariant homotopy classification result of G-... An isovariant map is an equivariant map preserving the isotropy subgroups. In this paper, we develop an isovariant version of the Hopf classification theorem; namely, an isovariant homotopy classification result of G-isovariant maps from free G-manifolds to representation spheres under a certain dimensional condition, the so-called Borsuk-Ulam inequality. In order to prove it, we use equivariant obstruction theory and the multidegree of an isovariant map. 展开更多
关键词 Hopf classification theorem Borsuk Ulam theorem isovariant map multidegree finitegroup action
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Simple groups with orders 2~a3~b5~cp^d, 2~a3~b7~cp^d and 2~a3~b5~c7~d
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作者 JIANGYouyi TANMingshu LIUXuefei 《Journal of Chongqing University》 CAS 2004年第1期105-107,共3页
This work deals with the power exponent 1rand 2r respectively of the maximal and second-maximal prime factors of the order of simple K4-group, and the classification for simple 4{5,7}K--group G (i.e. G can not be divi... This work deals with the power exponent 1rand 2r respectively of the maximal and second-maximal prime factors of the order of simple K4-group, and the classification for simple 4{5,7}K--group G (i.e. G can not be divided by 5 nor by 7 or ()Gp= 4 ), simple 5 -4K-group G (i.e. G can not divided by 5 and ()Gp=4) and simple 7-4K-group G (i.e. G can not divided by 7 and ()Gp= 4). It is derived that 1r =1, 2 and 4, and 2r is not greater than 4. All the simple 4K-groups with order 235,237abcdabcdpp and 2357abcd are obtained. 展开更多
关键词 finite group simple K_4-group classification theorem meticulous depiction power exponent Diophantine equation
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Existence of Solutions for a Multi-point Boundary Value Problems with Three Dimension Kernal at Resonance
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作者 LIANG Ju-hua REN Li-shun ZHAO Zhi-liang 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期138-143,共6页
In this paper,a multi-point boundary value problems for a three order nonlinear deferential equation is considered.With the help of coincidence theorem due to Mawhin,a existence theorem is obtained.
关键词 boundary value problems coincidence degree theorem existence theorem 2000 MR Subject classification:34B10 34B15
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The Characterization of Finite Simple Groups,L_3(3^(2m-1))(m 2),by Their Element Orders
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作者 Ming Chun XU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第4期899-902,共4页
In this paper the following theorem is proved: Every group L3(q) for q = 3^(2m-1)(m≥2) is characterized by its set of element orders.
关键词 Simple groups Set of element orders classification theorem
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