The Index Problem for Subgroup Intersections

2025/11/27 by Mouli, Haran
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2511.22750

Abstract

In previous papers, Drungilas et al. study the problem of which triples of positive integers (a, b, c) can be realized as ([E: ℚ], [F: ℚ], [EF: ℚ]), where E and F are number fields, using techniques from field theory. We shall study this problem rephrased in the language of groups using the Galois correspondence to simplify and generalize their results.

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