Binary sequences which contain no $BBb$

On Groups which contain no HNN-Extensions

A group is called HNN-free if it has no subgroups that are nontrivial HNN-extensions. 23 We prove that finitely generated HNN-free implies virtually polycyclic for a large class of groups. We also consider finitely generated groups with no free subsemigroups of rank 2 25 and show that in many situations such groups are virtually nilpotent. Finally, as an application of our results, we determine...

Infinitely Many Hyperbolic 3-manifolds Which Contain No Reebless Foliation

It has long been realized that the presence of a Reebless foliation in a compact 3-manifold M reveals useful topological information about M . By Novikov [No65], M is irreducible with infinite fundamental group. By Palmeira [Pa78], M has universal cover R. Building on work of Thurston and Gabai and Kazez [Ga98, GK98], Calegari [Ca] has shown that if M is also atoroidal, then π1(M) is Gromov neg...

B - Lymphocytic Hairy Cells Contain no HTLV - H DNA Sequences

T HE HUMAN lymphotropic virus HTLV-II has been isolated from two patients with a variant T-cell form of hairy cell leukemia (HCL).”2 However, HCL is seen predominantly as a malignancy of B-cell lineage. Some suggestive evidence for HTLV-II in connection with HCL comes from the observation of cell-surface Tac antigen, which is correlated with T cells and selected T-cell malignancies, in B lympho...

B-lymphocytic hairy cells contain no HTLV-II DNA sequences.

HTLV-II has been found in some cases of the rare T-cell form of hairy-cell leukemia (HCL) and in a leukopenic chronic T-cell leukemia mimicking HCL. We asked whether the virus is implicated in the more frequent B-cell form of HCL. DNA extracted from the mononuclear cells derived from spleen (eight cases) or peripheral blood (eight cases) of 16 patients with the B-cell form of HCL was probed. No...

On sets of integers which contain no three terms in geometric progression