Composition length 2026-10-03
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The composition length of a finite-length module or group is the number of simple factors in a composition series. The Jordan–Hölder theorem makes this independent of the chosen composition series.
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Jordan–Hölder factor Created 2026-09-28 Updated 2026-10-03
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A Jordan–Hölder factor is a simple quotient in a composition series. The Jordan–Hölder theorem says that the multiset of such factors is independent of the chosen composition series.
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Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 1 / 2 / Solution 2026-10-03
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Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 1 / 5 / Solution 2026-10-03
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Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 3 / 2 / Solution 2026-10-03
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Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 4 / 2 / Solution 2026-10-03
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Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 2 / 1 / Solution 2026-10-03
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