论文标题
有限组的对角线双kodaira结构
Diagonal double Kodaira structures on finite groups
论文作者
论文摘要
我们在有限群体上介绍了一些特殊演讲,我们称之为“对角线双Kodaira结构”,其存在等同于存在一些特殊的Kodaira纤维表面,我们称其为“对角线双kodaira纤维化”。这使我们能够以纯粹的代数术语重塑有关有限的海森伯格小组的一些结果,该小组以前在作者的最新工作中获得了A. Causin的最新作品,并有可能将其扩展到任意特殊的$ p $ groups的情况下。
We introduce some special presentations on finite groups, that we call "diagonal double Kodaira structures" and whose existence is equivalent to the existence of some special Kodaira fibred surfaces, that we call "diagonal double Kodaira fibrations". This allows us to rephrase in purely algebraic terms some results about finite Heisenberg groups, previously obtained in the recent work of the author with A. Causin, and makes possible to extend them to the case of arbitrary extra-special $p$-groups.