Character numbers and Cartan matrices of blocks with abelian defect groups

• Applicant: Privatdozent Dr. Benjamin Sambale
• Subject Area: Mathematics
• Term: from 2017 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 390541063

• Final Report Year: 2022

No abstract available

Publications

• Solution of Brauer’s k⁢(B)k(B)-conjecture for π-blocks of π-separable groups. Forum Mathematicum, 30(4), 1061-1064.
  Sambale, Benjamin
  
• Bounding the number of characters in a block of a finite group. Advances in Mathematics, 358, 106861.
  Sambale, Benjamin
  
• Landau’s theorem for π-blocks of π-separable groups, Adv. Group Theory Appl. 8 (2019), 103–115
  B. Sambale
  
• Character tables and defect groups. Journal of Algebra, 562, 323-340.
  Sambale, Benjamin
  
• Survey on perfect isometries. Rocky Mountain Journal of Mathematics, 50(5).
  Sambale, Benjamin
  
• Broué’s Conjecture for 2-blocks with elementary abelian defect groups of order 32, Adv. Group Theory Appl. 12 (2021), 71–78
  C. Ardito & B. Sambale
  
• Cartan matrices and Brauer's k(B)-conjecture V. Journal of Algebra, 606, 670-699.
  Ardito, Cesare Giulio & Sambale, Benjamin
  
• Alternating sums over π-subgroups. Journal of Pure and Applied Algebra, 227(3), 107227.
  Navarro, Gabriel & Sambale, Benjamin
  
• Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements. Israel Journal of Mathematics, 262(1), 327-358.
  Hung, Nguyen Ngoc; Sambale, Benjamin & Tiep, Pham Huu