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Varieties of groups and normal-subgroup lattices—a survey

✍ Scribed by R. G. Burns; S. Oates-Williams

Publisher
Springer
Year
1994
Tongue
English
Weight
369 KB
Volume
32
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES

Normal subgroups and elementary theories
Normal subgroups and elementary theories of lattice-ordered groups
✍ Manfred Droste 📂 Article 📅 1988 🏛 Springer Netherlands 🌐 English ⚖ 741 KB

We show that any lattice-ordered group (/-group) G can be/-embedded into continuously many/-groups 11, which are pairwise elementarily inequivalent both as groups and as lattices with constant e. Our groups Hz can be distinguished by group-theoretical first-order properties which are induced by latt

The Top of the Lattice of Normal Subgrou
The Top of the Lattice of Normal Subgroups of the Grigorchuk Group
✍ Tullio Ceccherini-Silberstein; Fabio Scarabotti; Filippo Tolli 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 182 KB

A complete description of the lattice of all normal subgroups not contained in the stabilizer of the fourth level of the tree and, consequently, of index ≤ 2 12 in the Grigorchuk group G is given. This leads to the following sharp version of the congruence property: a normal subgroup not contained i