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1.
We investigate the Chow groups of zero cycles of products of curves over a p-adic field by means of the Milnor K-groups of their Jacobians as introduced by Somekawa. We prove some finiteness results for CH
0(X)/m for X a product of curves over a p-adic field. 相似文献
2.
Kay Wingberg 《Compositio Mathematica》2002,131(3):341-354
Fontaine and Mazur conjecture that a number field k has no infinite unramified Galois extension such that its Galois group is a p-adic analytic pro-p-group. We consider this conjecture for the maximal unramified p-extension of a CM-field k. 相似文献
3.
Jinya Nakamura 《K-Theory》2000,19(3):269-309
For a complete discrete valuation field K, the unit group of K has a natural decreasing filtration with respect to the valuation, and the graded quotients of this filtration are written in terms of the residue field. The Milnor K-group of a field is a generalization of the unit group. The Milnor K-group of K has a natural decreasing filtration of the same kind. However, if K is of mixed characteristics and has an absolute ramification index greater than one, the structure is not yet known. The aim of this paper is to determine the structure of the Milnor K-group of some special K, which are of mixed characteristics (0,p), whose residue fields are allowed to be imperfect, and which are of absolute ramification index p(p–1). 相似文献
4.
Aboubakr Bayoumi 《Central European Journal of Mathematics》2005,3(1):76-82
We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from
l
p
into the scalar field, (0< p<1). This space is isomorphic to l
∞. 相似文献
5.
Takao Yamazaki 《Mathematische Zeitschrift》2009,261(1):109-121
We prove that the kernel of the reciprocity map for a product of curves over a p-adic field with split semi-stable reduction is divisible. We also consider the K
1 of a product of curves over a number field.
相似文献
6.
Frans Keune 《K-Theory》1989,2(5):625-645
For any prime p, the p-primary part of the tame and the wild kernel of a number field F is described in terms of ideal class groups of p-power cyclotomic extensions of F. 相似文献
7.
The discriminant of an integral polynomial is one of its main characteristics. It influences the distribution of its roots,
the structure of the finite extension of the rational field generated by the polynomial's roots. In the paper, we show that,
for any given prime power p
b
, there exists an irreducible polynomial with discriminant being a multiple of p
b
. 相似文献
8.
Ewa Tyszkowska 《Central European Journal of Mathematics》2003,1(2):208-220
The famous theorem of Belyi states that the compact Riemann surface X can be defined over the number field if and only if
X can be uniformized by a finite index subgroup Γ of a Fuchsian triangle group Λ. As a result such surfaces are now called
Belyi surfaces. The groups PSL(2,q),q=p
n
are known to act as the groups of automorphisms on such surfaces. Certain aspects of such actions have been extensively studied
in the literature. In this paper, we deal with symmetries. Singerman showed, using acertain result of Macbeath, that such
surfaces admit a symmetry which we shall call in this paper the Macbeath-Singerman symmetry. A classical theorem by Harnack
states that the set of fixed points of a symmetry of a Riemann surface X of genus g consists of k disjoint Jordan curves called ovals for some k ranging between 0 and g+1. In this paper we show that given an odd prime p, a Macbetah-Singerman symmetry of Belyi surface with PSL(2,p) as a group of automorphisms has at most 相似文献
9.
FuZhengWANG 《数学学报(英文版)》2003,19(1):89-96
Let E/K be an elliptic curve with K-rational p-torsion points.The p-Selmer group of E is described by the image of a map λk and hence an upper bound of its order is given in terms of the class numbers of the S-ideal class group of K and the p-division field of E. 相似文献
10.
Victor Alexandru Nicolae Popescu Alexandru Zaharescu 《Central European Journal of Mathematics》2008,6(3):351-356
Let p be a prime number, ℚ
p
the field of p-adic numbers, and
a fixed algebraic closure of ℚ
p
. We provide an analytic version of the normal basis theorem which holds for normal extensions of intermediate fields ℚ
p
⊆ K ⊆ L ⊆
.
相似文献
11.
Semiregular relative difference sets (RDS) in a finite group E which avoid a central subgroup C are equivalent to orthogonal cocycles. For example, every abelian semiregular RDS must arise from a symmetric orthogonal cocycle, and vice versa. Here, we introduce a new construction for central (p
a
, p
a
, p
a
, 1)-RDS which derives from a novel type of orthogonal cocycle, an LP cocycle, defined in terms of a linearised permutation (LP) polynomial and multiplication in a finite presemifield. The construction yields many new non-abelian (p
a
, p
a
, p
a
, 1)-RDS. We show that the subset of the LP cocycles defined by the identity LP polynomial and multiplication in a commutative semifield determines the known abelian (p
a
, p
a
, p
a
, 1)-RDS, and give a second new construction using presemifields.We use this cohomological approach to identify equivalence classes of central (p
a
, p
a
, p
a
, 1)-RDS with elementary abelian C and E/C. We show that for p = 2, a 3 and p = 3, a 2, every central (p
a
, p
a
, p
a
, 1)-RDS is equivalent to one arising from an LP cocycle, and list them all by equivalence class. For p = 2, a = 4, we list the 32 distinct equivalence classes which arise from field multiplication. We prove that, for any p, there are at least a equivalence classes of central (p
a
, p
a
, p
a
, 1)-RDS, of which one is abelian and a – 1 are non-abelian. 相似文献
12.
Huai-Xin Cao Lan Li Qing-Jiang Chen Guo-Xing Ji 《Journal of Mathematical Analysis and Applications》2008,347(2):583-591
In this paper, (p,Y)-Bessel operator sequences, operator frames and (p,Y)-Riesz bases for a Banach space X are introduced and discussed as generalizations of the usual concepts for a Hilbert space and of the g-frames. It is proved that the set of all (p,Y)-Bessel operator sequences for a Banach space X is a Banach space and isometrically isomorphic to the operator space B(X,ℓp(Y)). Some necessary and sufficient conditions for a sequence of operators to be a (p,Y)-Bessel operator sequence are given. Also, a characterization of an independent (p,Y)-operator frame for X is obtained. Lastly, it is shown that an independent (p,Y)-operator frame for X is just a (p,Y)-Riesz basis for X and has a unique dual (q,Y*)-operator frame for X*. 相似文献
13.
We construct, for various classes of p-adic-valued functions, stochastic integrals with respect to the Poisson random measure. This leads to the construction of Markov processes over the field of p-adic numbers by means of stochastic differential equations. 相似文献
14.
15.
16.
A bounded linear operatorA:X→X in a linear topological spaceX is called ap-involution operator,p≥2, ifA
p=I, whereI is the identity operator. In this paper, we describe linearp-involution operators in a linear topological space over the field ℂ and prove that linear operators can be continued to involution
operators.
Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 671–676, May, 1997.
Translated by M. A. Shishkova 相似文献
17.
Peter Danchev 《Czechoslovak Mathematical Journal》2007,57(1):173-182
Suppose F is a perfect field of char F = p ≠ 0 and G is an arbitrary abelian multiplicative group with a p-basic subgroup B and p-component G
p
. Let FG be the group algebra with normed group of all units V(FG) and its Sylow p-subgroup S(FG), and let I
p
(FG; B) be the nilradical of the relative augmentation ideal I(FG; B) of FG with respect to B.
The main results that motivate this article are that 1 + I
p
(FG; B) is basic in S(FG), and B(1 + I
p
(FG; B)) is p-basic in V(FG) provided G is p-mixed. These achievements extend in some way a result of N. Nachev (1996) in Houston J. Math. when G is p-primary. Thus the problem of obtaining a (p-)basic subgroup in FG is completely resolved provided that the field F is perfect.
Moreover, it is shown that G
p
(1 + I
p
(FG; B))/G
p
is basic in S(FG)/G
p
, and G(1 + I
p
(FG; B))/G is basic in V(FG)/G provided G is p-mixed.
As consequences, S(FG) and S(FG)/G
p
are both starred or divisible groups.
All of the listed assertions enlarge in a new aspect affirmations established by us in Czechoslovak Math. J. (2002), Math.
Bohemica (2004) and Math. Slovaca (2005) as well. 相似文献
18.
Let be a strongly regular graph with adjacency matrix A. Let I be the identity matrix, and J the all-1 matrix. Let p be a prime. Our aim is to study the p-rank (that is, the rank over
, the finite field with p elements) of the matrices M = aA + bJ + cI for integral a, b, c. This note is based on van Eijl [8]. 相似文献
19.
The class of the regular p-groups is one of the important classes in p-groups. Not only it has many similar properties as abelian p-groups, but also many of the p-groups belong to this class. In this paper, using the algorithms for determining the isomorphic regular p-groups, we give a complete classification of the regular p-groups with e-invariants (e, 2, 1).Supported by SXYSF 991003. 相似文献
20.
Houshang Behravesh 《Southeast Asian Bulletin of Mathematics》2000,24(3):345-353
By a quasi-permutation matrix we mean a square matrix over the complex field with non-negative integral trace. Thus every permutation matrix over is a quasi-permutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q (G) denote the minimal degree of a faithful representation of G by quasi-permutation matrices over the rational field , and let c(G) be the minimal degree of a faithful representation of G by complex quasi-permutation matrices. In this paper we will calculate c(G), q(G), and p(G), where G is a metacyclic p-group with non-cyclic center and p is either 2 or an odd prime number.AMS Subject Classification (2000) 20C15 相似文献