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Can I read On Groups with All Subgroups Norma-by-(finite Rank) on EtoBox?
On Groups with All Subgroups Norma-by-(finite Rank) by Howard Smith is a Mathematics article available to read on EtoBox.
What is On Groups with All Subgroups Norma-by-(finite Rank) about?
Let G be a locally soluble-by-finite group in which H=H G has finite (Pru ̈fer) rank for all subgroups H of G, where H G denotes the normal core of H in G. It is proved that G has an abelian normal subgroup A such that G=A has finite rank, that there is an integer r such that H=H G has rank at most r for all H, and that the rank of G=A is bounded in terms of r. Similar results hold for related classes of groups G.
Who reads On Groups with All Subgroups Norma-by-(finite Rank)?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Howard Smith
- Publisher
- Walter de Gruyter GmbH
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)