Some questions of Edjvet and Pride about infinite groups

zbMath0598.20029MaRDI QIDQ1079657

Publication date: 1986

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

wreath products maximal conditions subnormal subgroup SQ-universal groups maximal chains finitely generated group just-infinite groups finite height finite-by \({\mathcal D}_ 2\)-by finite large properties of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (18)

Maximal subgroups of groups of intermediate growth ⋮ Unnamed Item ⋮ Further groups that do not have uniformly exponential growth. ⋮ Amenability and non-uniform growth of some directed automorphism groups of a rooted tree ⋮ On the concept of ``largeness in group theory. ⋮ On amenability of groups generated by homogeneous automorphisms and their cracks ⋮ Finite generation of iterated wreath products. ⋮ On amenability of automata groups. ⋮ On the automaton complexity of wreath powers of non-Abelian finite simple groups. ⋮ The rank and generating set for inverse limits of wreath products of Abelian groups. ⋮ Realising residually finite groups as subgroups of branch groups ⋮ A Wilson group of non-uniformly exponential growth. ⋮ Groups of oscillating intermediate growth. ⋮ Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk. ⋮ Folner sets of alternate directed groups ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ The characterization by automata of certain profinite groups. ⋮ Extensions of amenable groups by recurrent groupoids

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