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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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Shi Rong LI 《数学学报(英文版)》2005,21(4):797-802
For a finite group G, let T(G) denote a set of primes such that a prime p belongs to T(G) if and only if p is a divisor of the index of some maximal subgroup of G. It is proved that if G satisfies any one of the following conditions: (1) G has a p-complement for each p∈T(G); (2)│T(G)│= 2: (3) the normalizer of a Sylow p-subgroup of G has prime power index for each odd prime p∈T(G); then G either is solvable or G/Sol(G)≌PSL(2, 7) where Sol(G) is the largest solvable normal subgroup of G. 相似文献
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Xiao Qin DENG Jiang Rong CHEN 《数学学报(英文版)》2005,21(3):613-622
The notion of generic extensions of representations of a Dynkin quiver plays a big role in the study of the structure of the corresponding quantum group. In this paper, we describe the generic extensions of a simple representation by any representation and that of any representation by a simple representation of a Dynkin quiver Q of type D. 相似文献
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赵士银 《纯粹数学与应用数学》2011,27(1):45-50
设H为有限型Hopfπ-代数,研究Hopfπ-代数H上的Hopfπ-模与Hopf π-余代数H *上的Hopfπ-余模之间的对偶关系,得出了Hopfπ-子模与Hopfπ-子 余模之间的充分必要条件,推广了Hopf代数中的相关结论. 相似文献
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《中国科学A辑(英文版)》2008,(1)
Brouéand Puig set the definition of nilpotent p-blocks, stated the existence of such blocks, and then proved that there is a unique Brauer character in a nilpotent p-block. The present paper, based on the works of Slattery and Robinson, generalizes the above idea to theπ-block theory of aπ-separable group, defines the nilpotency of aπ-block, and proves that there is a unique B_(π')-character in a nilpotentπ-block. 相似文献
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51.PreliminatriesS.Bogdanovicgaveacharacterizationforstronglyrr-inversesemigroupsinLlJ.TheclassofrightinversesemigroupsisinvestigatedbyP.S-Venkatesanin[2j.Inthispaper,thenotionofstronglyrightff-inversesemigroupsisintroduced.Characteri-zationofthisclassofsemigroupsobtained-Definition1.1[1jAff-regularsemigroupsissaidtobeK-orthodoxifE,,thesetofidem-potentsinS,isasubsemigroupofS.Definition1.2[1jAK-regularsemigroupsiscalledstronglyK-inverseifef=feforev-erye,feE,.Definition1.3Aff-regularsemi… 相似文献
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1.IntroductionandStatementofMainResultsLetKbeasetOfPrimesandK'thecomplementarysetofK.LetGbeafinitegroupandAanon-identitygroupofautomophismsofGsuchthat(lAI,lGI)=1.AsiswellknownitisoftentoobtainonthestructureofGifweimposesomeconditiononproperA-invariantsub-groupsofG.Inthispaper,weareinterestedinthefollowingproblem:IfeveryproperA-in-variantsubgroupsofGisK,closedbutGitselfisnot,thatis,GisaninnerK,closedgroupwithoperatorA,whatisthestructureofG?ThespecialcasethatK={p}wassettledbyProfesso… 相似文献
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π-可分群中关于正规π-子群的π-Brauer特征标 总被引:1,自引:0,他引:1
本文研究了有限π可分群中关于正规π子群的πBrauer特征标,利用Isaacs的经典Bπ特征标理论和特征三元组理论,得到了有限π可分群上的一个类函数空间的一个经典基. 相似文献
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主要讨论局部有限维的Hopf π-代数的π-子代数与Hopf π-子代数,分别得到了Hopf π-代数的π-子代数和Hopf π-子代数的一些充分必要条件. 相似文献
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Hopf π-余代数的π-子余代数 总被引:2,自引:1,他引:2
主要讨论了局部有限维的Hopfπ-余代数的Hopfπ-子余代数,得到了Hopfπ-余代数的π-子余代数,和Hopfπ-子余代数的一些充分必要条件. 相似文献
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这篇文章中,我们研究了一种有限π-可分群G,它的每一个非线性不可约特征标是π-次的.得到了G是π-群的一个等价条件,并且给出了一些群理论的特征。 相似文献
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设π是一个素数集合Isaacs建立了特征标π-理论,推广了Brauer模特征标理论.基于Isaacs的工作,定义了M_π-群,推广了M_p-群的概念,证明了若G是一个有限π-幂零群,则G是M-群当且仅当G是M-群. 相似文献
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这篇文章中,我们研究了一种有限π-可分群G,它的每一个非线性不可约特征标是π-次的,得到了G是π-群的一个等价条件,并且给出了一些群理论的特征. 相似文献
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LetRbeassociativewithanidentity.RingRiscalledaπ-regularringifandonlyifforeveryelementainR,thereexistsomen1,c∈Rsuchthatan=ancan.RingRiscalledaunitπ-regularringifandonlyifforanyelementainR,thereissomem1suchthatam=amuamforaunitu∈R.Manyringsareunitπ-regularrings,suchassemicommutativeπ-regularrings,finitesemicommutativerings,stronglyπ-regularringsandunit-regularrings.Risstronglyπ-regularifforeverya∈Rthereexistn1andc∈Rsuchthatan=an 1c.Ifthein-dexnaboveisoneforalla∈R,thenRiscalledabel… 相似文献
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这篇文章中 ,我们研究了一种有限π -可分群G ,它的每一个非线性不可约特征标是π -次的 ,得到了G是π -群的一个等价条件 ,并且给出了一些群理论的特征。 相似文献
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A general ring means an associative ring with or without identity.An idempotent e in a general ring I is called left (right) semicentral if for every x ∈ I,xe=exe (ex=exe).And I is called semiabelian if every idempotent in I is left or right semicentral.It is proved that a semiabelian general ring I is π-regular if and only if the set N (I) of nilpotent elements in I is an ideal of I and I /N (I) is regular.It follows that if I is a semiabelian general ring and K is an ideal of I,then I is π-regular if and only if both K and I /K are π-regular.Based on this we prove that every semiabelian GVNL-ring is an SGVNL-ring.These generalize several known results on the relevant subject.Furthermore we give a characterization of a semiabelian GVNL-ring. 相似文献