Strains of Theiler's murine encephalomyelitis virus (TMEV) are divided into two subgroups, TO and GDVII. TMEV strains show subgroup-specific virus growth and cell tropism and induce subgroup-specific diseases. Using site-directed mutagenesis, we demonstrated that the amino acid at position 57 of the leader protein (L(57)), which is located at the most N-terminal part of the polyprotein, regulat...

We characterize connected Lie groups that have a dense, finitely generated subgroup with Property (T).

Let F be a number field and A = AF the ring of adeles. Let T be the subgroup of GL2 consisting of diagonal matrices with Z ⊆ T the center. Let N ⊆ GL2 be the subgroup of upper triangle unipotent matrices so that P = TN the standard Borel. Given automorphic representations π1, π2, π3 of GL2 over F such that the product of the central characters is trivial, one can consider the so-called triple p...

In previous papers [4; 5; 6] we constructed and studied many classes of operations on groups which have the following properties: (1) Associative; (2) Commutative; (3) The resultant group contains isomorphic images of the original factors and is generated by them; (4) In the resultant group the intersection of a factor with normal subgroup generated by the remaining factors is the unit element....

Let G be a semisimple algebraic group over a local field K of characteristic p. If the universal covering map Gsc → G is inseparable then no open subgroup of G(K) is finitely generated. Otherwise, for any compact open subgroup G with probability 1 two randomly chosen elements generate an open subgroup of G(K). Our main tool is a recent theorem by R. Pink characterizing compact groups linear ove...

We prove the Girth Alternative for finitely generated subgroups of PLo(I). We also prove that a finitely generated subgroup of Homeo+(I) which is sufficiently rich with hyperbolic-like elements has infinite girth.

The following basic results on infinite locally finite subgroups of a free m-generŽ . 48 ator Burnside group B m, n of even exponent n, where m ) 1 and n G 2 , n is divisible by 29, are obtained: A clear complete description of all infinite groups that Ž . Ž . are embeddable in B m, n as maximal locally finite subgroups is given. Any Ž . infinite locally finite subgroup L of B m, n is contained...

We consider the variety G2,p of nilpotent groups of class 2 of exponent p > 2 in the language L of group theory. To get the Amalgamation Property (AP) in [Bau] an additional predicate P (G) for G ∈ G2,p with G ′ ⊆ P (G) ⊆ Z(G) is introduced. Let GP2,p be the category of this groups in the extended language LP where the morphisms are embeddings. Using the class KP2,p of finite structures in GP2,...

Nakamura [N] introduced the G-Hilbert scheme G-Hilb C3 for a finite subgroup G ⊂ SL(3, C), and conjectured that it is a crepant resolution of the quotient C3/G. He proved this for a diagonal Abelian group A by introducing an explicit algorithm that calculates A-HilbC3. This note calculates A-Hilb C3 much more simply, in terms of fun with continued fractions plus regular tesselations by equilate...

We give a criterion for a finitely generated odd-angled Coxeter group to have a proper finite index subgroup generated by reflections. The answer is given in terms of the least prime divisors of the exponents of the Coxeter relations.