Displaying similar documents to “Subgroup Lattices for Crystallographic Groups”

Erratum to: “Solitary quotients of finite groups”

Marius Tărnăuceanu (2013)

Open Mathematics

Similarity:

In this short note a correct proof of Theorem 3.3 from [Tărnăuceanu M., Solitary quotients of finite groups, Cent. Eur. J. Math., 2012, 10(2), 740–747] is given.

On strong uniform dimension of locally finite groups

A. Sakowicz (2003)

Colloquium Mathematicae

Similarity:

We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.

A result about cosets

John C. Lennox, James Wiegold (1995)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Groups with metamodular subgroup lattice

M. De Falco, F. de Giovanni, C. Musella, R. Schmidt (2003)

Colloquium Mathematicae

Similarity:

A group G is called metamodular if for each subgroup H of G either the subgroup lattice 𝔏(H) is modular or H is a modular element of the lattice 𝔏(G). Metamodular groups appear as the natural lattice analogues of groups in which every non-abelian subgroup is normal; these latter groups have been studied by Romalis and Sesekin, and here their results are extended to metamodular groups.