Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 638-642.

• Articles • Previous Articles     Next Articles

A Note on the Finitistic Dimension of Crossed Product Group Algebras

 ZHANG Mian-Mian1, CAO Hai-Jun2   

  1. 1.The Department of Mathematics, Hangzhou Normal University, Hangzhou 310036;
    2.School of Science, Shandong Jiaotong University, Jinan 250357
  • Received:2013-01-15 Revised:2014-03-26 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11026207, 11226065)、浙江省自然科学基金(Y6100173, Y12A010086, LQ12A01028)和山东交通学院科研启动金资助

Abstract:

Let G be a finite group, k be an algebraically closed field whose characteristic does not divide the order of G, and
∧ be a  twisted kG-module algebra such that ∧*G exists as a crossed product algebra. We show that the finitistic
dimensions of ∧*G and ∧ are same and ∧*G satisfies the finitistic dimension conjecture if and only if ∧ does.

Key words: Crossed product algebras, Finitistic dimension

CLC Number: 

  • 16G10
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