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Finite Groups

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Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

Abstract

The success in classifying finite Abelian groups in the preceding chapter should not mislead us. The theory of finite groups is extremely complex and answers to general questions do not come easy. It would be far too much to expect that the structure of arbitrary finite groups can be completely determined. What we will show in this chapter is that every finite group contains certain subgroups that are relatively well understood. Thus, instead of tackling the whole group, which would be too ambitious, we will focus on its smaller pieces.

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Correspondence to Matej Brešar .

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Brešar, M. (2019). Finite Groups. In: Undergraduate Algebra. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-14053-3_6

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