On the subgroup index problem in finite groups.

DOI10.1007/s11856-011-0111-8zbMath1266.20030OpenAlexW1995176450MaRDI QIDQ1758934

Giovanni Zacher, Mauro Costantini

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0111-8

zbMATH Keywords

finite groupssubgroup latticesorder boundsprojectivitiesorders of subgroups\(P\)-indecomposable groupsdi-intervalslattice-determined subgroupssubgroup index problem

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items

Lattice-theoretic characterizations of the group classes \(\mathfrak N^{k-1}\mathfrak A\) and \(\mathfrak N^k\) for \(k\geq 2\)., On the subgroup lattice index problem in finite groups.

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