共查询到20条相似文献,搜索用时 62 毫秒
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本文研究了五次对称群S5与三阶循环群C3直积的整群环的正规化挠单位.作为应用,证明了S5×C3满足Zassenhaus猜想. 相似文献
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令 R 为有1的结合环,G 表 R 上某类典型群(SL_nR,SP_(2n)R,O_ ~(2n)R 等),EG 表 G的由初等阵生成的子群,G′表 G 的换位子群.令 e(G),c_n(G)分别表示最小的正整数e_n,c_n,使得 EG,G′中每一元素可至多由 e_n 个初等阵,c_n 个换位子表出。若不存在这样的有限正整数 e_n,c_n,我们说 G 对于初等阵或换位子无界. 相似文献
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一类特殊的对称的块循环矩阵的特征值 总被引:2,自引:0,他引:2
WangLigong LiXueliang HoedeC 《高校应用数学学报(英文版)》2004,19(1):17-26
In this paper, the spectrum and characteristic polynomial for a special kind of symmetric block circulant matrices are given. 相似文献
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分次环的Smash积A#G*与单位分量Ae理想间的对应 总被引:1,自引:0,他引:1
本文对任意群G上的任意分次环A,建立了Smash积A#G*和单位分量Ae理想间的对应关系,并运用所建立的对应关系研究分次环的Smash积A#G*和Ae的半素性,素性和单性. 相似文献
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本文利用群特征标的两个正交关系及任意 有限Abel群A上的特征标准A与同构的性质,得出了任意有限Abel群上Vinogradov不等的具体表达式。 相似文献
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Let K be an infinite field of characteristic different from 2, and G a group. Under suitable restrictions upon G, we classify the groups such that the symmetric units of KG satisfy the solvability identity (x 1, x 2,…, x 2 n ) o = 1, for some n. 相似文献
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Ernesto Vallejo 《Journal of Algebraic Combinatorics》2000,11(1):79-88
In this paper we show that the existence of plane partitions, which are minimal in a sense to be defined, yields minimal irreducible summands in the Kronecker product of two irreducible characters of the symmetric group S(n). The minimality of the summands refers to the dominance order of partitions of n. The multiplicity of a minimal summand equals the number of pairs of Littlewood-Richardson multitableaux of shape (, ), conjugate content and type . We also give lower and upper bounds for these numbers. 相似文献
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Let F be an infinite field of characteristic different from 2 and G a torsion group. Write 𝒰+(FG) for the set of units in the group ring FG that are symmetric with respect to the classical involution induced from the map g ? g ?1, for all g ∈ G. We classify the groups such that ?𝒰+(FG)? is n-Engel. 相似文献
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We give a simple combinatorial proof of Ram's rule for computing the characters of the Hecke Algebra. We also establish a relationship between the characters of the Hecke algebra and the Kronecker product of two irreducible representations of the Symmetric Group which allows us to give new combinatorial interpretations to the Kronecker product of two Schur functions evaluated at a Schur function of hook shape or a two row shape. We also give a formula for the regular representation of the Hecke algebra. 相似文献
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本文利用Luthar-Passi方法,研究了五次交错群A_5与六阶二面体群D_6直积的整群环的挠单位,得到了该群的Zassenhaus猜想成立. 相似文献
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Osnel Broche Cristo 《代数通讯》2013,41(9):3347-3356
Let RG denote the group ring of a group G over a commutative ring with unity R. Given a homomorphism σ:G → {± 1} and an involution ? of the group G, an oriented invoultion σ? of RG is defined in a natural way. We characterize when the set of symmetric elements under this involution is a subring. This gives a unified setting for earlier work of several authors. 相似文献
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Takao Hayami 《代数通讯》2013,41(11):3985-4005
We will determine the ring structure of the Hochschild cohomology HH?( 2 Q t ) of the mod-2 group ring 2 Q t for arbitrary generalized quaternion groups Q t of order 4t by calculating the ordinary cup product in H?(Q t , ψ 2 Q t ). 相似文献
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