论文标题
Donovan的猜想和延伸，由缺陷组的中心化
Donovan's conjecture and extensions by the centralizer of a defect group
论文作者
论文摘要
我们考虑Donovan的猜想在组$ g $的背景下，缺陷组$ d $和普通子组$ n \ lhd g $，这样$ g = c_d（d \ cap n）n $，扩展了与Abelian缺陷组的块相似的结果。作为一个应用程序，我们表明，多诺万的猜想适用于具有$ q_8 \ q_8 \ times c_ {2^n} $或$ q_8 \ times q_8 $的缺陷组的块。
We consider Donovan's conjecture in the context of blocks of groups $G$ with defect group $D$ and normal subgroups $N \lhd G$ such that $G=C_D(D\cap N)N$, extending similar results for blocks with abelian defect groups. As an application we show that Donovan's conjecture holds for blocks with defect groups of the form $Q_8 \times C_{2^n}$ or $Q_8 \times Q_8$ defined over a discrete valuation ring.
