In this paper, groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 ale classified. It turns out that if p 〉 2, n≥ 5, then the classification of groups of order p^n in w...In this paper, groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 ale classified. It turns out that if p 〉 2, n≥ 5, then the classification of groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order p^n with a cyclic subgroup of index p2 are the same.展开更多
Denote by V<sub>f</sub><sup>p</sup> the set of homotopy classes of codimensiom m framings of the p thorder stable normal bundle of a map f:M<sup>n</sup>→N<sup>v（n,p）+m</...Denote by V<sub>f</sub><sup>p</sup> the set of homotopy classes of codimensiom m framings of the p thorder stable normal bundle of a map f:M<sup>n</sup>→N<sup>v（n,p）+m</sup>.Where 3≤m=n-1 or m=n-2 butn=0,1 mod 4.We determine in this paper the set V<sub>f</sub><sup>p</sup> and then the set of p-homotopyclasses of p-immersions homotopic to f for some special cases.展开更多
Ⅰ. INTRODUCTIONThroughout this note, all manifolds are assumed to be smooth and closed. We refer to [1]—[3] for the definitions and basic properties of higher order tangent bundles and pth order nonsingular immersio...Ⅰ. INTRODUCTIONThroughout this note, all manifolds are assumed to be smooth and closed. We refer to [1]—[3] for the definitions and basic properties of higher order tangent bundles and pth order nonsingular immersions (p-immersions). Let M be an n-manifold. We denote展开更多
基金supported by the National Natural Science Foundation of China(No.10671114)the ShanxiProvincial Natural Science Foundation of China(No.2008012001)the Returned Abroad-StudentFund of Shanxi Province(No.[2007]13-56)
文摘In this paper, groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 ale classified. It turns out that if p 〉 2, n≥ 5, then the classification of groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order p^n with a cyclic subgroup of index p2 are the same.
文摘Denote by V<sub>f</sub><sup>p</sup> the set of homotopy classes of codimensiom m framings of the p thorder stable normal bundle of a map f:M<sup>n</sup>→N<sup>v（n,p）+m</sup>.Where 3≤m=n-1 or m=n-2 butn=0,1 mod 4.We determine in this paper the set V<sub>f</sub><sup>p</sup> and then the set of p-homotopyclasses of p-immersions homotopic to f for some special cases.
文摘Ⅰ. INTRODUCTIONThroughout this note, all manifolds are assumed to be smooth and closed. We refer to [1]—[3] for the definitions and basic properties of higher order tangent bundles and pth order nonsingular immersions (p-immersions). Let M be an n-manifold. We denote
