1 citations · 1 across the 4 of their papers we have counts for
4 papers
Blocks with defect group D_{2^n} * C_{2^m}
Benjamin Sambale
We determine the numerical invariants of blocks with defect group D_{2^n} * C_{2^m} = Q_{2^n} * C_{2^m} (central product), where n > 2 and m > 1. As a consequence, we prove Brauer'…
Blocks with defect group D_{2^n} x C_{2^m}
Benjamin Sambale
We determine the numerical invariants of blocks with defect group D_{2^n}\times C_{2^m}, where D_{2^n} denotes a dihedral group of order 2^n and C_{2^m} denotes a cyclic group of o…
Cartan matrices and Brauer's k(B)-conjecture
Benjamin Sambale
We show (among other things) that Brauer's k(B)-conjecture holds for defect groups with are central extensions of metacyclic 2-groups by cyclic groups. The same holds for defect gr…
2-Blocks with minimal nonabelian defect groups
Benjamin Sambale
We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei. If the defect group is also metacyclic, then the block invar…