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2-Blocks with minimal nonabelian defect groups
blocks of finite groups minimal nonabelian defect groups Alperin’s conjecture Dade’s conjecture
2011/1/19
We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei (see [41]). If the defect group is also metacyclic, then the block invariants are...
Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems
finite groups realizing Ruiz-Viruel exotic fusion systems
2010/11/23
Continuing our previous work, we determine a minimal left characteristic biset $X$ for every exotic fusion system $\mathcal{F}$ on the extraspecial group $S$ of order $7^3$ and exponent $7$ discovered...