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1.Group algebra is a branch of mathematics that deals with the study of groups.
群论是数学的一个分支，研究群。
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2. In group algebra, we study how to manipulate groups to solve problems.
在群论中，我们研究如何操作群来解决问题。
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3. The study of group algebra has applications in many fields, including computer science and engineering.
群论的研究在许多领域都有应用，包括计算机科学和工程。