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亏数零p-块的存在条件 总被引:1,自引:1,他引:0
<正> 给定有限群G的一个p-子群D,在什么条件下D是G的一个p-块的亏数群呢?这是模表示论中一个十分重要的问题。由Brauer第一基本定理,我们可以假定D是正规子群,从而进一步化为DC_G(D)/D的亏数零p-块的存在性问题.关于此间题的研究,吸引了众多的群论和模表示论工作者.但迄今进展甚微.Brauer和Fowler[1]曾经给出了存在亏数零P-块的充分条件,Tsushima[2]和wada也曾给出过类似的条件,在本文 相似文献
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研究了p2阶子群以及一般的pk阶子群为弱正规子群时有限群G的结构.给出了有限群为p-幂零群以及超可解群的一些条件. 相似文献
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黄琼 《纯粹数学与应用数学》2016,32(5):546-550
通过Sylow子群的极大子群和次正规性,利用极小阶反例的方法,得出群p-幂零性和超可解性的结论.本文的创新改进之处在于结合Sylow子群的极大子群和次正规性,研究p-幂零性和超可解性的相关结论. 相似文献
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Broué和Puig给出了幂零p-块的概念,并指出了幂零p-块的存在性以及幂零p-块的一个性质:幂零p-块中仅含一个Brauer特征标.利用Slattery,Robinson等的一些工作,将上述思想推广到π-可分群的π-块论中,给出了幂零π-块的合理定义,并证明:幂零π-块中仅含一个B_(π′)-特征标. 相似文献
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本文研究了有限群中素数幂阶元的共轭类长对有限群的超可解性和p-幂零性的影响,推广了若干新近的结果. 相似文献
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Broué和Puig给出了幂零p-块的概念, 并指出了幂零p-块的存在性以及幂零p-块的一个性质:幂零p-块中仅含一个Brauer特征标. 利用Slattery, Robinson等的一些工作, 将上述思想推广到π-可分群的π-块论中, 给出了幂零π-块的合理定义, 并证明: 幂零π-块中仅含一个Bπ''-特征标. 相似文献
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Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
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S. V. Kerov 《Journal of Mathematical Sciences》1988,41(2):995-999
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986. 相似文献
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Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
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In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes
intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory
is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension
at least three whose similarity types include intersection and cylindrifications. A similar result is proved for subreducts
of the class of representable sequential algebras.
Received October 7, 1998; accepted in final form September 10, 1999. 相似文献
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Vladimir I. Arnold 《Functional Analysis and Other Mathematics》2009,2(2-4):151-164
Empirical study of the period’s length T of the continued fractions of $\sqrt{Q}$ (for growing integers Q) shows several strange asymptotical results, for instance, $T\leq C\sqrt{Q}\ln{Q}$ . These results show important differences between the statistics of the elements of the continued fractions of random real numbers and of square roots of random integers. 相似文献
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