منابع مشابه
Residual properties of the modular group and other free products
Using a probabilistic approach we establish new residual properties of the modular group PSL2(Z), and of more general free products. We prove that the modular group is residually in any infinite collection of finite simple groups not containing a Suzuki group Sz(q) or a 4dimensional symplectic group PSp4(q) with q a power of 2 or 3. This result is best possible, since the groups excluded are no...
متن کاملMaps preserving the nilpotency of products of operators
Let B(X) be the algebra of all bounded linear operators on the Banach space X, and let N (X) be the set of nilpotent operators in B(X). Suppose φ : B(X)→ B(X) is a surjective map such that A,B ∈ B(X) satisfy AB ∈ N (X) if and only if φ(A)φ(B) ∈ N (X). If X is infinite dimensional, then there exists a map f : B(X)→ C \ {0} such that one of the following holds: (a) There is a bijective bounded li...
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Partly cooked canned hams and dried pepperoni and salami sausages were prepared from the carcasses of pigs infected with African swine fever virus and pigs infected with hog cholera virus. Virus was not recovered from the partly cooked canned hams; however, virus was recovered in the hams before heating in both instances. Both African swine fever virus and hog cholera virus were recovered from ...
متن کاملOn Nilpotency and Asymptotic Nilpotency of Cellular Automata
One of the most interesting aspects in the theory of cellular automata is the study of different types of nilpotency, that is, different ways in which a cellular automaton can force a particular symbol (usually called 0) to appear frequently in all its spacetime diagrams. The simplest such notion, called simply ‘nilpotency’, is that the cellular automaton c maps every configuration to a uniform...
متن کاملSOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of $mathbb{Z}_{m}*mathbb{Z}_{n}$ is free of rank $(m-1)(n-1)$ fo...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1969
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700041241