Composition series and its number determine a group?

By Jordan-Holder thm, it is known that every finite group has a unique composition series.(Here, unique means that there is only one kinds of such series.) And it is known also that composition se...

abstract algebra - Composition series and its number determine a group? - Mathematics Stack Exchange Stack Internal Knowledge at work Bring the best of human thought and AI automation together at your work. Explore Stack Internal Composition series and its number determine a group? Ask Question Asked 10 years, 11 months ago Modified 10 years, 11 months ago Viewed 2k times 5 $\begingroup$ By Jordan-Holder thm, it is known that every finite group has a unique composition series.(Here, unique means that there is only one kinds of such series.) And it is known also that composition series of a fin

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