John G. Thompson
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View article: The Divisor Matrix, Dirichlet Series and SL(2,Z)
The Divisor Matrix, Dirichlet Series and SL(2,Z) Open
A representation of SL(2,Z) by integer matrices acting on the space of analytic ordinary Dirichlet series is constructed, in which the standard unipotent element acts as multiplication by the Riemann zeta function. It is then shown that th…
View article: Kaolinite: NMF Intercalates
Kaolinite: NMF Intercalates Open
Bulk and size-fractionated kaolinites from seven localities in Australia as well as the Clay Minerals Society Source Clays Georgia KGa-1 and KGa-2 have been studied by X-ray diffraction (XRD), laser scattering, and electron microscopy in o…
View article: Structural Characterisation of Kaolinite:NaCl Intercalate and its Derivatives
Structural Characterisation of Kaolinite:NaCl Intercalate and its Derivatives Open
Kaolinite:NaCl intercalates with basal layer dimensions of 0.95 and 1.25 nm have been prepared by direct reaction of saturated aqueous NaCl solution with well-crystallized source clay KGa-1. The intercalates and their thermal decomposition…
View article: Isomorphisms induced by automorphisms
Isomorphisms induced by automorphisms Open
The object of this note is to record a property of finite, perfect, centrally closed groups, where, by definition, G si centrally closed if and only if whenever E/Z ≅ G and Z ⊆ E' ∩ Z(E), then Z = 1.
View article: Nonsolvable finite groups all of whose local subgroups are solvable
Nonsolvable finite groups all of whose local subgroups are solvable Open
Notation and definitions 384 3. Statement of main theorem and corollaries 388 4. Proofs of corollaries 389 5. Preliminary lemmas 389 5.1.Inequalities and modules 389 5.2.7r-reducibility and fl,(®) 395 5.3.Groups of symplectic type 397 5.4.…
View article: Finite Groups which Contain a Selfcentralizing Subgroup of Order 3
Finite Groups which Contain a Selfcentralizing Subgroup of Order 3 Open
The polyhedral group ( l, m, n ) is defined in [3] by the presentation
View article: A SOLVABILITY CRITERION FOR FINITE GROUPS AND SOME CONSEQUENCES
A SOLVABILITY CRITERION FOR FINITE GROUPS AND SOME CONSEQUENCES Open
Metacognition, the ability to reflect upon, and evaluate our own beliefs, can help us avoid making decisions based on unreliable evidence. Here, we provide empirical tests of the importance of human metacognition during the COVID-19 pandem…
View article: Hydrogen-reduction method for the determination of oxygen in steel
Hydrogen-reduction method for the determination of oxygen in steel Open
A modified hy drogen-reduction method yielded accurate values for the t otal oxygen content of several plain ca rbon steels, including steels that contained small amounts of alumina and silica, but yielded low results when larger amounts o…