On locally graded groups with minimality condition for a certain system of nonhypercentral subgroups
Copyright policy )On locally graded groups with minimality condition for a certain system of nonhypercentral subgroups
Summary: We characterize groups without nontrivial perfect sections (in particular, solvable groups) with minimal condition for the subgroups which possess no hypercentral subgroups of finite index.
Generalizations of solvable and nilpotent groups, Chains and lattices of subgroups, subnormal subgroups, Solvable groups, supersolvable groups, Subgroup theorems; subgroup growth, Other classes of groups defined by subgroup chains, minimal condition, subgroups of finite index, hypercentral subgroups, locally graded groups, Local properties of groups, solvable groups
Generalizations of solvable and nilpotent groups, Chains and lattices of subgroups, subnormal subgroups, Solvable groups, supersolvable groups, Subgroup theorems; subgroup growth, Other classes of groups defined by subgroup chains, minimal condition, subgroups of finite index, hypercentral subgroups, locally graded groups, Local properties of groups, solvable groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!