共查询到20条相似文献,搜索用时 15 毫秒
1.
Arye Juhász 《Israel Journal of Mathematics》1987,58(1):37-53
In [1] we introduced the small cancellation condition W(4) and developed the basic theory. In this article we solve the conjugacy
problem for groups with a finite W(4) presentation.
Incumbent of the Lilian and George Lyttle Career Development Chair in Perpetuity, Established by Mrs. Helen Kimmelman, New
York. 相似文献
2.
Arye Juhasz 《Israel Journal of Mathematics》1986,55(1):65-93
We introduce a new small cancellation condition, the condition W(4), which weakens the condition C(4) & T(4), and develop
the corresponding small cancellation theory. In this paper we develop the basic theory and prove a version of Greendlinger’s
Lemma. In the forthcoming papers with the same title we prove the word problem and the conjugacy problem for groups having
a presentation which satisfies the condition W(4). 相似文献
3.
In this paper we give a graphical method which can be used to determine whether or not a group presentation satisfies the
small cancellation conditionT(q). We use this method to determine all 2- and 3-generator presentations satisfyingT(4). 相似文献
4.
Niamh OSullivan 《代数通讯》2013,41(7):3387-3400
In [14] we established a relationship between genus and localization of finitely generated torsion-free abelian by finite groups aud grnus and localization integral representation theory. In this paper we strrcly the consequences of this relationship. We prove results about the genus of groups which are analogues to results in integral representaion theory. In particular we prove non-cancellation phenomena for finitely generated groups with finite commutator subgroups. 相似文献
5.
Mohamed S. El-Mosalamy 《Israel Journal of Mathematics》1986,56(3):345-348
In this paper we give a simple proof of Collin’s theorem concerning free subgroups ofC(4),T(4) groups. Our proof actually shows that a slenderT(4) presentation 〈x
1,x
2, …,x
n
;r〉 has a free subgroup of rank 2 provided there is a subset {a, b, c} of {x
1,x
2, …,x
n
} with the property that any non-empty freely reduced word ina, b, c equal to 1 inG has a subword of length 2 contained in an element ofr*. 相似文献
6.
K. Kayathri 《Graphs and Combinatorics》1994,10(2-4):139-144
A conjecture of V.G. Vizing states that if G is a Δ-critical graph of order ? and size m, thenm ≥ 1/2(n(Δ - 1) + 3). This conjecture has been verified for Δ ≤ 4 by I.T. Jakobsen, L.W. Beineke, S. Fiorini and H.P. Yap. In this paper, we prove the conjecture for Δ = 5. 相似文献
7.
Tin-Yau TAM 《Linear and Multilinear Algebra》2013,61(2):113-120
Motivated by Schur-concavity, we introduce the notion of G -concavity where G is a closed subgroup of the orthogonal group O ( V ) on a finite dimensional real inner product space V . The triple ( V , G , F ) is an Eaton triple if F ² V is a nonempty closed convex cone such that (A1) Gx 7 F is nonempty for each x ε V . (A2) max g ε G ( x,gy ) = ( x,gy ) for all x, y ε F . If W := span F and H := { g | W : g ε G , gW = W } ² O ( W ), and ( W , H , F ) is an Eaton triple, then ( W , H , F ) is called a reduced triple of the Eaton triple ( V , G , F ). In this event, a characterization of the G -concavity in terms of H -concavity is obtained. Some differential characterizations of G -concavity are then given. The results are applied to Lie groups. Various matrix examples are given. 相似文献
8.
F.Schipp和W.R.Wade在[1]中证明了单位方体上Dyadic二元微积分算子的混合Hardy空间H#(I×I)的弱型.本文证明了p adic域,p 级数域的整环子群上一元和二元积分算子与微积分算子的Hr(G)与H#(G×G)(0<r1)有界性. 相似文献
9.
Feride Kuzucuoğlu 《Acta Appl Math》2005,85(1-3):209-213
Isomorphisms between finitary unitriangular groups and those of associated Lie rings are studied. In this paper we investigate exceptional cases.
Mathematics Subject Classifications (2000) 16W20, 20H25. 相似文献
10.
Cartan型模李超代数W的二阶上同调群H2(W,F) 总被引:1,自引:1,他引:0
本文研究了有限维广义Witt李超代数W的二阶上同调群H2(W,F),其中F是一个特征P>2的代数封闭域.通过计算W到W*的导子,得到H2(W,F)是平凡的.应用此结果,我们可得W的中心扩张是平凡的. 相似文献
11.
Ilya Kapovich 《Transactions of the American Mathematical Society》1997,349(5):1851-1875
In this paper we prove that C(4)-T(4)-P, C(3)-T(6)-P and C(6)-P small cancellation groups are translation discrete in the strongest possible sense and that in these groups for any and any there is an algorithm deciding whether or not the equation has a solution. There is also an algorithm for calculating for each the maximum such that is an -th power of some element. We also note that these groups cannot contain isomorphic copies of the group of -adic fractions and so in particular of the group of rational numbers. Besides we show that for and groups all translation numbers are rational and have bounded denominators.
12.
本文利用[5]的方法,对R4(C)中平均曲率方向平行的Bonnet曲面引入了半测地等温 参数,并给出了一个分类结果. 相似文献
13.
W.W. Comfort 《Topology and its Applications》2008,155(4):172-179
Several months ago the speaker and Jan van Mill gave a proof of this result [W.W. Comfort, J. van Mill, Extremal pseudocompact abelian groups are compact metrizable, Abstracts Amer. Math. Soc. 27 (2006) 78 (Abstract #1014-22-958); W.W. Comfort, J. van Mill, Extremal pseudocompact abelian groups are compact metrizable, Proc. Amer. Math. Soc. 135 (2007) 4039-4044]: A pseudocompact abelian group of uncountable weight admits both a proper dense pseudocompact subgroup and a strictly larger pseudocompact group topology.This presentation will describe both the necessary new details of the argument and the historical development (useful tools, special cases). Among those who contributed essentially are: K.A. Ross (1964, 1966); T. Soundararajan (1982); L.C. Robertson (1982, 1988); J. van Mill (1989); J. van Mill and H. Gladdines (1994); J. Galindo (2002).Several related unsolved problems will be cited. 相似文献
14.
15.
本文利用[5]的方法,对R4(C)中平均曲率方向平行的Bonnet曲面引入了半测地等温 参数,并给出了一个分类结果. 相似文献
16.
Let R be a commutative ring,I an ideal of R and k ≥ 2 a fixed integer.The ideal-based k-zero-divisor hypergraph HkI(R) of R has vertex set ZI(R,k),the set of all ideal-based k-zero-divisors of R,and for distinct elements x1,x2,…,xk in ZI(R,k),the set {x1,x2,…,xk} is an edge in HkI(R) if and only if x1x2…xk ∈ I and the product of the elements of any (k-1)-subset of {x1,x2,…,xk} is not in I.In this paper,we show that H3I(R) is connected with diameter at most 4 provided that x2 (∈) I for all ideal-based 3-zero-divisor hypergraphs.Moreover,we find the chromatic number of H3 (R) when R is a product of finite fields.Finally,we find some necessary conditions for a finite ring R and a nonzero ideal I of R to have H3I (R) planar. 相似文献
17.
Daniel T. Wise 《Geometric And Functional Analysis》2004,14(1):150-214
We study the B(6) and B(4)-T(4) small cancellation groups.
These classes include the usual C(1/6) and C(1/4)-T(4) metric small
cancellation groups. We show that every finitely presented B(4)-T(4)
or word-hyperbolic B(6) group acts properly discontinuously and cocompactly
on a CAT(0) cube complex. We show that finitely generated infinite
B(6) and B(4)-T(4) groups have codimension 1 subgroups and thus do not
have property (T). We show that a finitely presented B(6) group is wordhyperbolic
if and only if it contains no
subgroup. 相似文献
18.
弱闭T(N)-模的预零化子的等距映射 总被引:1,自引:0,他引:1
本文刻划了弱闭T(N)-模的预零化子间的等距映射.设u,W分别为由左连续序同态N→~N和N→~N所确定的弱闭T(N)-模, u(?),W(?)分别为u,W的预零化子,Φ为由u(?)到W(?)上的线性等距映射.若(0)*=(0)#=(0),dim(0)+≠1且min{dim(H(?)~H),dim(He(?)^H)}≥2,则存在酉算子Ui,Vi(i=1,2),使得Φ(A)=U1AV*1或Φ(A)=U2A*V2*. 相似文献
19.
20.
In this paper,we investigate a class of factorisable IC quasi-adequate semigroups,so-called,factorisable IC quasi-adequate semigroups of type-(H,I).Some characterizations of factorisable IC quasi-adequate semigroups of type-(H,I) are obtained.In particular,we prove that any IC quasi-adequate semigroup has a factorisable IC quasi-adequate subsemigroups of type-(H,I) and a band of cancellative monoids. 相似文献