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Upper and Lower Bounds of Table Sums

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摘要 For a group G,we produce upper and lower bounds for the sum of the entries of the Brauer character table of G and the projective indecomposable character table of G.When G is aπ-separable group,we show that the sum of the entries in the table of Isaacs'partial characters is a real number,and we obtain upper and lower bounds for this sum.
出处 《Algebra Colloquium》 SCIE CSCD 2021年第4期555-560,共6页 代数集刊(英文版)
基金 support of the China Scholarship Council,the Cultivation Programme for Young Backbone Teachers in Henan University of Technology,and the NSFC(11926330,11926326,11971189,11771356).
作者简介 Xiaoyou Chen,E-mail:cxymathematics@hotmail.com;Corresponding author:Mark L.Lewis,E-mail:lewis@math.kent.edu;Hung P.Tong-Viet,E-mail:tongviet@math.binghamton.edu。
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  • 1Navarro G. Characters and blocks of finite groups[M]. Cambridge : Cambridge University Press, 1998.
  • 2Isaacs I M. Character theory of finite groups[M]. New York: Academic Press, 1976.
  • 3Solomon L. On the sum of the elements in the character table of a finite group[J]. Proc Amer Math Soc, 1961,12 (6) :962-963.
  • 4Jansen C,Lux K,Parker R,et al. An atlas of Brauer characters[M]. Oxford : Oxford University Press, 1995.

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