共查询到20条相似文献,搜索用时 78 毫秒
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引进了一类广义Catalan数,并赋予这类广义Catalan数组合意义,用这类广义Catalan数得到一类不定方程的解数. 相似文献
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利用轮子图构造出一类图,证明了这类图都是点传递但边不传递的正则图,并证明了通过覆盖的方法,可以使一类2m2(m>3,m为正整数)阶非边传递图变成对称图,这类对称图实际上是亚循环图. 相似文献
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本文在Hilbeft空间中引入一类新的广义强非线性拟补问题,并讨论这类问题解的存在性及由算法所构造的序列的收敛性.本文所得结果改进和推广了许多已知的结果. 相似文献
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图的广义和连通指数作为新提出的一类分子拓扑指数, 在QSPR/QSAR 中有很大的应用价值. 树图、单圈图和双圈图的极值问题已取得很多结果, 而三圈图相关问题的研究较为复杂. 限制 - 1\leqslant \alpha < 0, 对三圈图的广义和连通指数进行了研究. 通过对三圈图的分析, 构造了一种图的变换, 指出在三圈图中广义和连通指
数的极小值必由其中的七种类型图取得. 然后通过悬挂边的变换, 最终得到三圈图广义和连通指 数的极小值并刻画了唯一的极图. 相似文献
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隐互补问题在自然科学中的诸多领域有着广泛的应用.研究了一类广义隐互补问题.利用外梯度法的两种改进算法构造了新的投影迭代算法,并将其应用到这类广义隐互补问题中,研究了在伪单调的条件下算法的收敛性,并讨论了新算法的参数和校正步长的选择方法. 相似文献
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利用文[3]中的结论构造群代数与对称代数在文[4]的基础上给出了广义baby TKK代数G(~T)的一类boson场表示. 相似文献
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James P. Cossey 《代数通讯》2018,46(8):3356-3364
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Antonio Tortora 《代数通讯》2013,41(2):431-438
For any integer n ≠ 0,1, a group G is said to be “n-Bell” if it satisfies the identity [x n ,y] = [x,y n ]. It is known that if G is an n-Bell group, then the factor group G/Z 2(G) has finite exponent dividing 12n 5(n ? 1)5. In this article we show that this bound can be improved. Moreover, we prove that every n-Bell group is n-nilpotent; consequently, using results of Baer on finite n-nilpotent groups, we give the structure of locally finite n-Bell groups. Finally, we are concerned with locally graded n-Bell groups for special values of n. 相似文献
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Bijan Taeri 《代数通讯》2013,41(3):894-922
Let n be an integer greater than 1. A group G is said to be “ n-rewritable” whenever for every n elements x 1,…,x n of G, there exist distinct permutations τ, σ on the set {1,2,…, n} such that x τ(1) ··· x τ(n) = x σ (1) ··· x σ (n). In this article, we complete the classification of 3-rewritable finite nilpotent groups and prove that a finite nilpotent group G is 3-rewritable if and only if G has an abelian subgroup of index 2 or the derived subgroup has order < 6. 相似文献
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I. Lizasoain 《数学学报(英文版)》2010,26(3):405-418
Some classical results about linear representations of a finite group G have been also proved for representations of G on non-abelian groups (G-groups). In this paper we establish a decomposition theorem for irreducible G-groups which expresses a suitable irreducible G-group as a tensor product of two projective G-groups in a similar way to the celebrated theorem of Clifford for linear representations. Moreover, we study the non-abelian minimal normal subgroups of G in which this decomposition is possible. 相似文献
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In 1960, Baumslag, following up on work of Cernikov for the 1940s, proved that a hypercentral p-group G with G = G p is a divisible Abelian group. In this article, we provide an interesting generalization of this 45 year old result: If a hypercentral p-group G satisfies |G:G p |<∞ (of course, it contains G = G p ), there exists a normal divisible Abelian subgroup D such that |G:D|<∞. 相似文献
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《代数通讯》2013,41(5):1417-1425
ABSTRACT Let n be an integer greater than 1. A group G is said to be n-rewritable (or a Qn-group) if for every n elements x1, x2,…,xn in G there exist distinct permutations σ and τ in Sn such that xσ(1)xσ (2) ??? xσ(n) = xτ(1)xτ(2) ??? xτ(n). In this paper, we characterize all 3-rewritable nilpotent 2-groups of class 2. Also we have found a bound for the nilpotency class of certain nilpotent 3-rewritable groups, and have shown that 3-rewritable groups satisfy a certain law. 相似文献
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A. Jaikin-Zapirain 《Mathematische Zeitschrift》2006,253(2):333-345
In this paper we prove that if R is a commutative Noetherian local pro-p domain of characteristic 0, then every finitely generated R-standard group is linear.
This work has been partially supported by the FEDER, the MEC Grant MTM2004-04665 and the Ramón y Cajal Program. 相似文献
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A Garside group is a group admitting a finite lattice generating set
. Using techniques developed by Bestvina for Artin groups of finite type, we construct K(π, 1)s for Garside groups. This construction shows that the (co)homology of any Garside group G is easily computed given the lattice
, and there is a simple sufficient condition that implies G is a duality group. The universal covers of these K(π, 1)s enjoy Bestvina's weak nonpositive curvature condition. Under a certain tameness condition, this implies that every
solvable subgroup of G is virtually Abelian. 相似文献
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王登银 《数学物理学报(B辑英文版)》2007,27(2):317-328
All parabolic subgroups and Borel subgroups of PΩ(2m 1, F) over a linear-able field F of characteristic 0 are shown to be complete groups, provided m > 3. 相似文献