NON-ISOMORPHIC GROUPS WITH ISOMORPHIC SPECTRAL TABLES AND BURNSIDE MATRICES-中国期刊网

摘要 ItwassbownbyFormanekandSibleythatthegroupdeterminantcharacterizesafinitegroupGuptoisomorphism.HoehnkeandJohnson(independentlytheauthors-usinganargumentofManafield)showedthecorrespondingresultfork-characters,k=1,2,3.Thenotionofk-charactersdatesbacktoFrobenius.TheyaredeterminedbythegroupdeterminantandmaybederivedfromthecharactertableCT(G)providedoneknowsadditionallythefunctionsφk:G×…×G→C（G），（g1,…,gk)→Cg1…gk,whereC(G)={Cg,g∈G}denotesthesetofconjugacyclassesofG.Theobjectofthepaperistopresentcriteriaforfinitesgroups(morepreciselyforsolublegroupsGandHwhicharebothsemi-directproductsofasimilartype)when1.GandHhaveisomorphicspectraltables(i.e.,theyformaBrauerpair),2.GandHhaveisomorphictableofmarks(inparticulartheBurnsideringsareisomorphic),3.GandHhavethesame2-characters.Usingthistheauthorscoustructtwonon-isomorphicsolublegroupsforwhichallthesethreerepresentation-theoreticalinvariantscoincide.

1Peter V. DANCHEV. Isomorphic Commutative Group Algebras of p-Mixed Warfield Groups.基础数学,2005-04.
2Yan LIU;Gui Ying YAN. Graphs Isomorphic to Their Maximum Matching Graphs.基础数学,2009-09.
3. THE SPECTRAL COMPLETION OF A CLASS OF OPERATOR PARTIAL MATRICES.系统科学,2000-04.
4Hanz Martin Cheng. Generation of Complex Matrices Belonging to Matrix Groups with Controlled Condition Number.基础数学,2013-03.
5. Effect of Heteroscedastic Variance Covariance Matrices on Two Groups Linear Classification Techniques.基础数学,2014-02.
6Qingxiang Yin. Construction of Real Band Anti-Symmetric Matrices from Spectral Data.基础数学,2006-01.
7Hu, DL;Cai, DY. RQI DYNAMICS FOR NON-NORMAL MATRICES WITH REAL EIGENVALUES.计算数学,1997-02.
8王立联;郭本瑜. NON-ISOTROPIC JACOBI SPECTRAL METHODS FOR UNBOUNDED DOMAINS.基础数学,2004-02.
9Mahboubeh Alizadeh Sanati Fatemeh Mahdipour. Baer-lnvariant of Some Non Finitely Generated Abelian Groups.基础数学,2012-04.
10ZHANG Yi;HE Chun-jiang;LUO Yuan;CHEN Kai;XING Wu-chao. Improved perceptually non-uniform spectral compression for robust speech recognition.通信与信息系统,2013-04.

NON-ISOMORPHIC GROUPS WITH ISOMORPHIC SPECTRAL TABLES AND BURNSIDE MATRICES

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NON-ISOMORPHIC GROUPS WITH ISOMORPHIC SPECTRAL TABLES AND BURNSIDE MATRICES

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