共查询到20条相似文献,搜索用时 15 毫秒
1.
Let be a nontrivial torsion group and be the ring of integers of an algebraic number field. The necessary and sufficient conditions are given under which has only trivial units.
2.
In the paper we describe basin of attraction p-adic dynamical system G(x)=(ax)2(x+1). Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. 相似文献
3.
We introduce a new spectral sequence called the p-chain spectral sequence which converges to the (co-)homology of a contravariant C-space with coefficients in a covariant C-spectrum for a small category C. It is different from the corresponding Atiyah–Hirzebruch-type spectral sequence. It can be used in combination with the Isomorphism Conjectures of Baum and Connes and Farrell and Jones to compute algebraic K- and L-groups of group rings and topological K-groups of reduced group C*-algebras. 相似文献
4.
Peter V. Danchev 《Czechoslovak Mathematical Journal》2002,52(1):129-140
Suppose
is a commutative ring with identity of prime characteristic
and
is an arbitrary abelian
-group. In the present paper, a basic subgroup and a lower basic subgroup of the
-component
and of the factor-group
of the unit group
in the modular group algebra
are established, in the case when
is weakly perfect. Moreover, a lower basic subgroup and a basic subgroup of the normed
-component
and of the quotient group
are given when
is perfect and
is arbitrary whose
is
-divisible. These results extend and generalize a result due to Nachev (1996) published in Houston J. Math., when the ring
is perfect and
is
-primary. Some other applications in this direction are also obtained for the direct factor problem and for a kind of an arbitrary basic subgroup. 相似文献
5.
In this note, we study relative (pa,pb,pa,pa−b)-relative difference sets in certain p-subgroups of SL(n,K), K=Fq, where q is a prime power. 相似文献
6.
Kazuya Kato 《K-Theory》2005,34(2):99-140
We compute K1 of completed group rings of some two dimensional p-adic Lie groups.
Dedicated to Professor Spencer Bloch on his sixtieth birthday 相似文献
7.
A ring R is called clean if every element of it is a sum of an idempotent and a unit. A ring R is neat if every proper homomorphic image of R is clean. When R is a field, then a complete characterization has been obtained for a commutative group ring RG to be neat, but not clean. And if R is not a field, then necessary conditions are obtained for a commutative group ring RG to be neat, but not clean. A counterexample is given to show that these necessary conditions are not sufficient. 相似文献
8.
The p-rank of an algebraic curve X over an algebraically closed field k of characteristic p>0 is the dimension of the vector space H1(Xet,Fp). We study the representations of finite subgroups GAut(X) induced on H1(Xet,Fp)k, and obtain two main results.First, the sum of the nonprojective direct summands of the representation, i.e., its core, is determined explicitly by local data given by the fixed point structure of the group acting on the curve. As a corollary, we derive a congruence formula for the p-rank.Secondly, the multiplicities of the projective direct summands of quotient curves, i.e., their Borne invariants, are calculated in terms of the Borne invariants of the original curve and ramification data. In particular, this is a generalization of both Nakajima's equivariant Deuring–Shafarevich formula and a previous result of Borne in the case of free actions. 相似文献
9.
主要探讨了秩大于或者等于p-1的可除阿贝尔p-群的p-自同构群,并且得到这些p-自同构如何作用在该可除阿贝尔p-群上.这些结论有助于进一步理解 ?ernikov p-群的结构. 相似文献
10.
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
11.
We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank 2 in a finite p-group G, for an odd prime p. Namely, it is p if G has rank at least 3 and it is p+1 if G has rank 2. More precisely, if G has rank 2, there are exactly 1,2,p+1, or possibly 3 classes for some 3-groups of maximal nilpotency class. 相似文献
12.
A polynomial of degree ?2 with coefficients in the ring of p-adic numbers Zp is studied as a dynamical system on Zp. It is proved that the dynamical behavior of such a system is totally described by its minimal subsystems. For an arbitrary quadratic polynomial on Z2, we exhibit all its minimal subsystems. 相似文献
13.
Zhiqing Yang 《Topology and its Applications》2005,153(1):161-170
One major open problem in geometric topology is the Hilbert-Smith conjecture. A natural approach to this conjecture is to work on classifying spaces of p-adic integers. However, the well-known Milnor's construction of classifying space of p-adic integers is not locally connected, hence will not help to solve the conjecture, and the other known constructions are very complex. The goal of this paper is to give a new construction of classifying spaces for p-adic group actions. 相似文献
14.
In this paper we give by a unified formula the classification of exceptional compact simple Kantor triple systems defined on tensor products of composition algebras corresponding to realifications of exceptional simple Lie algebras. 相似文献
15.
Another Note on the Greatest Prime Factors of Fermat Numbers 总被引:1,自引:0,他引:1
For every positive integer k > 1, let P(k) be the largest prime divisor of k. In this note, we show that if Fm = 22m + 1 is the mth Fermat number, then P(Fm) 2m+2(4m + 9) + 1 for all m 4. We also give a lower bound of a similar type for P(Fa,m), where Fa,m = a2m + 1 whenever a is even and m a18.AMS Subject Classification (1991) 11A51 11J86 相似文献
16.
On the torus group, on the group of p-adic integers, and on the p-adic solenoid, we give a construction of an arbitrary weakly infinitely divisible probability measure using a random element
with values in a product of (possibly infinitely many) subgroups of ℝ. As a special case of our results, we have a new construction
of the Haar measure on the p-adic solenoid. 相似文献
17.
本文研究了p-可除kG-模,这是一类由群阶的素数因子来控制的模类.利用Heller算子,证明了n次Heller算子置换非投射不可分解p-可除kG-模的同类;利用模的诱导和限制方法,证明了若H是G的强p-嵌入子群,则Green对应建立了不可分解p-可除kG-模的同构类与不可分解p-可除kH-模的同构类之间的一一对应.推广了不可分解相对投射kG-模上的Green对应. 相似文献
18.
The aim of this work is to apply the complex interpolation method to norms of n-tuples of operators in the p-Schatten classes of a Hilbert space H. The norms considered define Finsler metrics in a certain manifold of positive operators, and can be regarded as weighted p-norms, the weight being a positive invertible operator. As a by-product, we obtain Clarkson's type inequalities. 相似文献
19.
We introduce a new wide class of p-adic pseudodifferential operators. We show that the basis of p-adic wavelets is the basis of eigenvectors for the introduced operators. 相似文献
20.
L. El Kaoutit 《Mathematische Nachrichten》2009,282(5):726-747
We show that the bicategory whose 0‐cells are corings over rings with local units is bi‐equivalent to the bicategory of comonads in (right) unital modules whose underlying functors are right exact and preserve direct sums. A base ring extension of a coring by an adjunction is introduced as well (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献