Maximal subgroups of groups of intermediate growth
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2018.10.026
Abstract: Abstract Finding the number of maximal subgroups of infinite index of a finitely generated group is a natural problem that has been solved for several classes of “geometric” groups (linear groups, hyperbolic groups, mapping class… read more here.
Keywords: maximal subgroups; groups intermediate; subgroups infinite; infinite index ... See more keywords
Nil restricted Lie algebras of oscillating intermediate growth
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2021.09.003
Abstract: The Grigorchuk and Gupta-Sidki groups are natural examples of self-similar finitely generated periodic groups. The author constructed their analogue in case of restricted Lie algebras of characteristic 2, Shestakov and Zelmanov extended this construction to… read more here.
Keywords: nil restricted; finitely generated; lie algebras; restricted lie ... See more keywords