singular cohomology group

例句：

1. 1. The study of singular cohomology groups is a challenging area of research.
   研究单奇数协和群是一个具有挑战性的研究领域。
2. 2.In the field of mathematics, singular cohomology groups play a crucial role in solving complex problems.
   在数学领域，单奇数协和群在解决复杂问题中起着至关重要的作用。
3. 3. The discovery of new singular cohomology groups has opened up new possibilities for mathematical research.
   新发现的单奇数协和群为数学研究开辟了新的可能性。