Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 52, Number 3 (2008), 887-900.
Finite groups with $L$-free lattices of subgroups
Balanced and strongly balanced lattices were introduced in order to generalize the uniform dimension of modular lattices. A description of finite groups with strongly balanced subgroup lattices was given by the authors in (Colloq. Math. 82 (1999), 65–77) and strengthened by Schmidt in (Illinois J. Math. 47 (2003), 515–528). In this paper, a description of finite groups with dually strongly balanced subgroup lattices is given.
Illinois J. Math., Volume 52, Number 3 (2008), 887-900.
First available in Project Euclid: 1 October 2009
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Bagiński, Czesław; Stocka, Agnieszka. Finite groups with $L$-free lattices of subgroups. Illinois J. Math. 52 (2008), no. 3, 887--900. doi:10.1215/ijm/1254403720. https://projecteuclid.org/euclid.ijm/1254403720