CD Manuscript B and the Community Rule – Reflections on a Literary Relationship

This article begins by noting the proliferation of textual overlap between the Damascus Document and the Rule of the Community. Some examples of such overlap, such as the penal code, have received a large amount of scholarly attention in the wake of the publication of all the Cave 4 manuscripts. This study returns to a passage from CD manuscript B (CD 20:1b-8a) that has long been recognized as closely related to 1QS 8-9 and offers a reconsideration of the relationship between both texts in the light of the full publication of all the S manuscripts. The analysis offered here uncovers a complex inter-relationship between both texts as well as some intriguing pointers towards a complex literary history within the S tradition

Almost group theory

The notion of almost centralizer and almost commutator are introduced and basic properties are established. They are used to study $\widetilde{\mathfrak M}\_c$-groups, i. e.groups for which every descending chain of centralizers each having infinite index in its predecessor stabilizes after finitely many steps. The Fitting subgroup of such groups is shown to be nilpotent and a theorem of Hall for nilpotent groups is generalized to ind-definable almost nilpotent subgroups of $\widetilde{\mathfrak M}\_c$-groups

On n-dependent groups and fields

First, an example of a 2-dependent group without a minimal subgroup of bounded index is given. Second, all infinite n-dependent fields are shown to be Artin-Schreier closed. Furthermore, the theory of any non separably closed PAC field has the IPn property for all natural numbers n and certain properties of dependent (NIP) valued fields extend to the n-dependent context