论文标题

模块化同构问题:调查

The Modular Isomorphism Problem: a survey

论文作者

Margolis, Leo

论文摘要

模块化同构问题询问在特征p领域的两个有限p组G和H组代数的同构表示,这意味着G和H组的异构症。我们调查了问题的历史,解释了该问题的策略,这些策略是开发出来的,这些策略是为了研究它并提出了该问题的最新负面解决方案。该问题还与其他同构问题进行了比较,其中包括各种问题。

The Modular Isomorphism Problem asks if an isomorphism of group algebras of two finite p-groups G and H over a field of characteristic p, implies an isomorhism of the groups G and H. We survey the history of the problem, explain strategies which were developed to study it and present the recent negative solution of the problem. The problem is also compared to other isomorphism problems for group rings and various question remaining open are included.

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