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pro vyhledávání: '"D. S. Passman"'
Autor:
D. S. Passman, L. W. Small
Publikováno v:
Bulletin of the London Mathematical Society.
Autor:
D. S. Passman, Jairo Z. Gonçalves
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Let D be a division ring with central subfield k of characteristic ≠2, let ⁎ be a k-involution of D, and let N ⊲ D • be a normal subgroup of the multiplicative group D • of D. We show that if G is a ⁎-stable nonabelian subgroup of N that
Autor:
D. S. Passman
Publikováno v:
Proceedings of the American Mathematical Society. 147:995-1003
Autor:
D. S. Passman, Chia Hsin Liu
Publikováno v:
Communications in Algebra. 44:3308-3323
We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions are key ingredients in the study of the multiplicative Jordan decomposition problem for group
Autor:
D. S. Passman, Jairo Z. Gonçalves
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Let D be a division ring with center Z and multiplicative group D ∖ { 0 } = D • , and let N be a normal subgroup of D • . We investigate various conditions under which N must contain a free noncyclic subgroup. In one instance, assuming that the
Autor:
Jairo Z. Gonçalves, D. S. Passman
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on the integral group ring Z[G]. In this paper, we consider whether bicyclic units u ∈ Z[G] exist with the property that the group 〈u, u∗〉, generated b
Autor:
D. S. Passman, Jairo Z. Gonçalves
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Autor:
Chia Hsin Liu, D. S. Passman
Publikováno v:
Communications in Algebra. 42:2633-2639
In this paper, we complete the classification of those finite 3-groups G whose integral group rings have the multiplicative Jordan decomposition property. If G is abelian, then it is clear that ℤ[G] satisfies the multiplicative Jordan decomposition
Autor:
D. S. Passman
Publikováno v:
Communications in Algebra. 42:2222-2253
This is a slight extension of an expository paper I wrote a while ago as a supplement to my joint work with Declan Quinn on Burnside's theorem for Hopf algebras. It was never published, but may still be of interest to students and beginning researche
Autor:
D. S. Passman, Chia Hsin Liu
Publikováno v:
Journal of Algebra. 388:203-218
If G is a finite group whose integral group ring Z [ G ] has the multiplicative Jordan decomposition property, then it is known that all Wedderburn components of the rational group ring Q [ G ] have degree at most 3. While degree 3 components can occ