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3-Blocks with Abelian Defect Groups Isomorphic to Z3m × Z3n

3-Blocks with Abelian Defect Groups Isomorphic to Z3m × Z3n
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摘要 Let G be a finite group and let p be a fixed prime number. Let B be a p-block of G with defect group D. In this paper, we give results on 3-blocks with abelian defect groups isomorphic to Z3m ×Z3n. We are particularly interested in the number of irreducible ordinary characters and the number of irreducible Brauer characters in the block. We calculate two important block invariants k(B) and l(B) in this case. Let G be a finite group and let p be a fixed prime number. Let B be a p-block of G with defect group D. In this paper, we give results on 3-blocks with abelian defect groups isomorphic to Z3m ×Z3n. We are particularly interested in the number of irreducible ordinary characters and the number of irreducible Brauer characters in the block. We calculate two important block invariants k(B) and l(B) in this case.
作者 Sheng YANG
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第12期2245-2250,共6页 数学学报(英文版)
关键词 BLOCKS defect groups inertial quotient inertial index Blocks, defect groups, inertial quotient, inertial index
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