A337118 - OEIS

%I #16 Sep 20 2020 00:46:08

%S 1,3,8,16,34

%N Number of Morita equivalence classes of blocks with defect group (C_2)^n.

%C a(6) >= 96.

%H C. G. Ardito, <a href="https://arxiv.org/abs/1908.02652">Morita equivalence classes of blocks with elementary abelian defect groups of order 32</a>, arXiv:1908.02652 [math.RT], 2019.

%H Block library, <a href="https://wiki.manchester.ac.uk/blocks/index.php/Classification_by_p-group">Classification by p-group</a>

%H D. Craven, C. W. Eaton, R. Kessar and M. Linckelmann, <a href="http://web.mat.bham.ac.uk/D.A.Craven/docs/papers/klein40904old.pdf">The structure of blocks with a Klein four defect group</a>, preprint 2009; Mathematische Zeitschrift 268 (2011), 441-476.

%H C. W. Eaton, <a href="https://arxiv.org/abs/1612.03485">Morita equivalence classes of blocks with elementary abelian defect groups of order 16</a>, arXiv:1612.03485 [math.GR], 2016-2019.

%H C. W. Eaton, <a href="https://doi.org/10.1090/proc/12886">Morita equivalence classes of 2-blocks of defect three</a>, Proceedings of the American Mathematical Society 144-5 (2016), 1961-1970.

%K nonn,more

%O 1,2

%A _Cesare Giulio Ardito_, Aug 16 2020