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Subrack lattice determines the derived length

2025/03/09 by Kayacan, Selçuk
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2503.06714

Abstract

We prove the following: If G is a finite solvable group and H is another group whose subrack lattice is isomorphic to the subrack lattice of G, then H is a solvable group and the derived length of H coincides with the derived length of G.

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