In 1987, Gromov conjectured that for every non-elementary hyperbolic group G there is an n = n(G) such that the quotient group G/Gn is infinite. The article confirms this conjecture. In addition, a… (More)

Clinical cancer research : an official journal of…

2012

PURPOSE
Human papillomavirus (HPV) is linked with a subset of head and neck squamous cell carcinomas (HNSCC). HPV-positive HNSCCs show a better prognosis than HPV-negative HNSCCs, which may be… (More)

It is known that the word problem for one-relator groups and for one-relator monoids of the form Mon〈A ‖ w = 1〉 is decidable. However, the question of decidability of the word problem for general… (More)

We construct an embedding of a free Burnside group B(m, n) of odd n > 2 and rank m > 1 in a finitely presented group with some special properties. The main application of this embedding is an easy… (More)

We generalize optimal inequalities of C. Loewner and M. Gromov, by proving lower bounds for the total volume in terms of the homotopy systole and the stable systole. Our main tool is the construction… (More)

We prove certain optimal systolic inequalities for a closed Riemannian manifold (X,G), depending on a pair of parameters, n and b. Here n is the dimension of X, while b is its first Betti number. The… (More)

It is proved that the free m-generated Burnside groups B(m, n) of exponent n are infinite provided that m > 1, n ≥ 248. In 1902 William Burnside posed the following problem [2]. Does a group G have… (More)

Mie resonances due to scattering or absorption of light in InN-containing clusters of metallic In may have been erroneously interpreted as the infrared band gap absorption in tens of papers. Here we… (More)

1991 Mathematics Subject Classification: Primary 20E06, 20F06, 20F32 A subgroup H of a free product ∏∗ α∈I Gα of groups Gα, α ∈ I, is termed factor free if for every S ∈ ∏∗ α∈I Gα and β ∈ I one has… (More)