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1.
Difference Sets with n = 2pm 总被引:1,自引:0,他引:1
Mikhail Muzychuk 《Journal of Algebraic Combinatorics》1998,7(1):77-89
Let D be a (v,k,) difference set over an abelian group G with even n = k - . Assume that t N satisfies the congruences t q
i
fi
(mod exp(G)) for each prime divisor qi of n/2 and some integer fi. In [4] it was shown that t is a multiplier of D provided that n > , (n/2, ) = 1 and (n/2, v) = 1. In this paper we show that the condition n > may be removed. As a corollary we obtain that in the case of n= 2pa when p is a prime, p should be a multiplier of D. This answers an open question mentioned in [2]. 相似文献
2.
3.
Lu(t)+(u,F)g(t)=f(t), tS. , ( F, g). .
The authors wish to thank Professor Yu. A. Rozanov for his help and discussions. 相似文献
The authors wish to thank Professor Yu. A. Rozanov for his help and discussions. 相似文献
4.
Kevin E. Osondu 《Semigroup Forum》1979,17(1):139-152
Let S be a cancellative semigroup which is a semilattice of left reversible semigroups S, . This article studies the relationship between the group of quotients G of S and the groups of quotients G of S, . It is shown that G is the maximum group homomorphic image of an inverse semigroup which is a semilattice of groups G (up to isomorphism).The technique used here which involves the use of Ore's quotients also applies to the study of the maximum group homomorphic image of a semigroup which is a semilattice of inverse semigroups. 相似文献
5.
Ralph-Hardo Schulz 《Journal of Geometry》1986,26(2):186-190
We prove: Let G be a finite group with a non-trivial partition (G) and a set (G) of subgroups such that any two components of (G) are contained in at least one W with W (G) and W G; then G is a p-group or a Frobenius group.From this we obtain: A finite group with a linear partition can only be an abelian p-group or a Frobenius group.Dedicated to Prof. H. Lenz on the occasion of his 70th birthday 相似文献
6.
Walter Benz 《Aequationes Mathematicae》1992,43(2-3):177-182
Summary The following theorem holds true.
Theorem.
Let X be a normed real vector space of dimension 3 and let k > 0 be a fixed real number. Suppose that f: X X and g: X × X are functions satisfying x – y = k f(x) – f(y) = g(x, y)(x – y) for all x, y X. Then there exist elements and t X such that f(x) = x + t for all x X and such that g(x, y) = for all x, y X with x – y = k. 相似文献
7.
M. F. Timan 《Analysis Mathematica》1978,4(1):75-82
N- (p, q) (1 p
N-, L p - L q -. , , , L L q - , , . 相似文献
8.
F. Schipp 《Analysis Mathematica》1976,2(1):65-76
- , - n An-,. , . , ¦n¦=1 (n=1,2, ), . , — — , . 相似文献
9.
F. Móricz 《Analysis Mathematica》1979,5(2):135-147
Z
d — k=(k
1, ...,k
d) k
j,d1.d- (8), . .
a
k s
m=
a
k s, >0 N, min (m
1,...,m
d)N, ¦s
m–s¦. , , >0 N, min (m
1,...,m
d)N min (n
1,...,n
d)N, ¦s
m–s
n. . , (8) , >0 N, max (b
1,...,b
d) N, m — Z
d
, m1, ¦s(b, m)¦ where
相似文献
10.
A. B. Aleksandrov 《Journal of Mathematical Sciences》1993,63(2):115-129
Let be an inner function, let C, ¦¦=1. Then the harmonic function [(+)]/(–)] is the Poisson integral of a singular measure
D. N. Clark's known theorem enables us to identify in a natural manner the space H2 H2 with the space L2
(
).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 170, pp. 7–33, 1989. 相似文献
11.
In a recent letter, new representations were proposed for the pair of sequences (,), as defined formally by Bailey in his famous lemma. Here we extend and prove this result, providing pairs (,) labelled by the Lie algebra AN – 1, two nonnegative integers and k and a partition , whose parts do not exceed N – 1. Our results give rise to what we call a higher level Bailey lemma. As an application it is shown how this lemma can be applied to yield general q-series identities, which generalize some well-known results of Andrews and Bressoud. 相似文献
12.
F. Schipp 《Analysis Mathematica》1976,2(2):149-154
. . . . : {ja
j
},j=1,2,... — ,
f(x) ,
, f
[1](x) — f . 相似文献
13.
Approximate Identities in Spaces of all
Absolutely Continuous Measures on Locally Compact Semigroups
Let G be a locally compact group. Then Ma (G), the space of all absolutely continuous measures on G, has a bounded
approximate identity. Baker and Baker proved that (S) (the space of all measures M(S) so that maps x x *|| and x ||*x are weak continuous from a locally compact semigroup S into M(S)) is closed under absolutely continuity and has an approximate identity. The main purpose of this paper is to show that similar results hold true for a locally compact semigroup S and Ma(S) the space of all absolutely continuous measures on S. 相似文献
14.
In this paper, an interactive paired comparison simplex based method formultipleobjectivelinearprogramming (MOLP) problems is developed and compared to other interactive MOLP methods. Thedecisionmaker (DM)'s utility function is assumed to be unknown, but is an additive function of his known linearized objective functions. A test for utilityefficiency for MOLP problems is developed to reduce the number of efficient extreme points generated and the number of questions posed to the DM. The notion of strength ofpreference is developed for the assessment of the DM's unknown utility function where he can express his preference for a pair of extreme points as strong, weak, or almost indifferent. The problem of inconsistency of the DM is formalized and its resolution is discussed. An example of the method and detailed computational results comparing it with other interactive MOLP methods are presented. Several performance measures for comparative evaluations of interactive multiple objective programming methods are also discussed.All rights reserved. This study, or parts thereof, may not be reproduced in any form without written permission of the authors. 相似文献
15.
R. J. Bagby 《Analysis Mathematica》1982,8(1):3-8
(, ) — R
m
×R
n
. f R
m
×R
n
fp,q, f L
p
(R
m) x y, Lq(Rn). ׃
q,r
cƒ
p,r
, ׃ R
m
×R
n
, , , q r . , ( ¦¦) K
0
(y); p, g r , K
0. 相似文献
16.
Haim Brezis Luis A. Caffarelli Avner Friedman 《Annali di Matematica Pura ed Applicata》1980,123(1):219-246
Summary Consider the Dirichlet problem for an elliptic equation in a domain , with coefficients having discontinuity on a surface . Suppose divides into 1 2(2 the inner core), the thickness of 1 is of order of magnitude , and the modulus of ellipticity in 1 is of order magnitude 1. The asymptotic behavior of the solution is studied as 0, 1 0, provided lim (/1) exists. Other questions of this type are studied both for elliptic equations and for elliptic variational inequalities.The second author is partially supported by National Science Foundation Grant 7406375 A01. The third author is partially supported by National Science Foundation Grant MC575-21416 A01. 相似文献
17.
Let be a semilocal ring (a factor ring with respect to the Jacobson-Artin radical) for which the residue field C/m of its center C with respect to each maximal idealmC contains no fewer than seven elements. The structure of subgroups H in the full linear group GL(n, ) containing the group of diagonal matrices is considered. The main theorem: for any subgroup H there is a uniquely determined D-net of ideals such that G()HN(), whereN() is the normalizer of the D-net subgroup . A transparent classification of subgroups GL(n, ) normalizable by diagonal matrices is thus obtained. Further, the factor groupN()/G() is studied.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 75, pp. 32–34, 1978. 相似文献
18.
In the mid-1980s an equivalence was established between the simple closed geodesics on the Riemann surfaces obtained as quotients of the upper half plane H by any of the following subgroups of the modular group (1) : , (3), and 3. An axis of a hyperbolic element of (1) projects to a simple closed geodesic on one of these surfaces if and only if it does so on the other two.This equivalence was used to obtain a variety of Diophantine and geometric results. In subsequent related investigations, the role of (1) was assumed by the Hecke triangle group Gq for q 3. (For q = 3, we have (1) = G3.) These works employed the analog of 3, denoted q.In the context of the Gq, the present paper gives the analog of , which we denote q. As in the case q = 3, we have [q:q] = 2. A rather full discussion of geometry of q\ H is given. In particular, we demonstrate that the equivalence of simple closed geodesics on q\ H and q\ H does not hold for q 7.As of this writing, we have not been able to obtain an appropriate analog of (3). 相似文献
19.
Mohammad Reza R. Moghaddam Ali Reza Salemkar Mohammad Reza Rismanchian 《Southeast Asian Bulletin of Mathematics》2002,25(3):485-490
Let v and be two varieties of groups defined by the sets of laws V and W, respectively. In this paper we construct a -v-covering group of a finite v-perfect group G, and show that every automorphism of G may be lifted to its -v-covering group. These generalize the previous work of the first two authors (1999). We also characterize the -v-irreducible extensions in some sense.AMS Mathematics Subject Classification (2000) Primary 20E34 20E36 Secondary 20E10 相似文献
20.
G. G. Gevorkyan 《Analysis Mathematica》1986,12(3):185-190
, (t) >0 E(–, +),E<, , ¦f(t)¦ (t)
xE, f(t)=0 (–, +). 相似文献