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Finite-index subgroup

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Group theory Group Subgroup
2026-09-28  0 By others on same topic  0 Discussions Create my own version
A subgroup H≤G has finite index when the coset space G/H is finite. Intersecting a finite-index subgroup with a subgroup again gives a finite-index subgroup of the latter.

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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 133 / 2 / c / Solution

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