Add to ORKGWe classify principal $2$-blocks of finite groups $G$ with Sylow $2$-subgroups isomorphic to a wreathed $2$-group $C_{2^n}\wr C_2$ with $n\geq 2$ up to Morita equivalence and up to splendid Morita equivalence. As a consequence, we obtain that Puig's Finiteness Conjecture holds for such blocks. Furthermore, we obtain a classification of such groups modulo $O_{2'}(G)$, which is a purely group theoretical result and of independent interest. Methods previously applied to blocks of tame representation type are used, however, they are further developed in order to be able to treat blocks of wild representation type in the present case.Comment: Version 2, 24 page
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Let G be a finite group with Sylow 2-subgroup P. Navarro–Tiep–Vallejo have conjectured that the prin...
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