Abstract
The p-rank of a finite p-group is the maximal rank of an abelian subgroup. For odd primes the p-groups of p-rank at most 2 are classified by Blackburn. We use this classification in order to prove Olsson’s Conjecture for all blocks with defect groups of p-rank at most 2 provided p > 3. We also develop general methods which deal with controlled blocks.
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Sambale, B. (2014). Defect Groups of p-Rank 2. In: Blocks of Finite Groups and Their Invariants. Lecture Notes in Mathematics, vol 2127. Springer, Cham. https://doi.org/10.1007/978-3-319-12006-5_11
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DOI: https://doi.org/10.1007/978-3-319-12006-5_11
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