Zobrazeno 1 - 10
of 182
pro vyhledávání: '"D. S. Passman"'
Autor:
D. S. Passman, L. W. Small
Publikováno v:
Bulletin of the London Mathematical Society.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::954a1a92c3f1421a5c23d183c789b381
https://doi.org/10.1112/blms.12850
https://doi.org/10.1112/blms.12850
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::598613c49091df769081b21d4d4bc531
https://doi.org/10.1016/j.jalgebra.2020.01.012
https://doi.org/10.1016/j.jalgebra.2020.01.012
Autor:
D. S. Passman
Publikováno v:
Proceedings of the American Mathematical Society. 147:995-1003
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::160cd6663db131e8089b19c43642df77
https://doi.org/10.1090/proc/14291
https://doi.org/10.1090/proc/14291
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5477cf8a15daf5a9fea7219957c9ace
https://doi.org/10.1080/00927872.2015.1044104
https://doi.org/10.1080/00927872.2015.1044104
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58ee6f10b6d222b123aa91119efc9980
https://doi.org/10.1016/j.jalgebra.2015.05.020
https://doi.org/10.1016/j.jalgebra.2015.05.020
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55d0d813125f7586e0e8365d136453ab
https://doi.org/10.1090/s0002-9939-2015-12550-6
https://doi.org/10.1090/s0002-9939-2015-12550-6
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92141a331fd9604fd3b1e1010490d9d0
https://doi.org/10.1090/s0002-9939-2014-12230-1
https://doi.org/10.1090/s0002-9939-2014-12230-1
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e83a6955a686eed526bace63dd924c7
https://doi.org/10.1080/00927872.2013.766828
https://doi.org/10.1080/00927872.2013.766828
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6537659298007bf1c00135f0aaa645c
https://doi.org/10.1080/00927872.2012.753604
https://doi.org/10.1080/00927872.2012.753604
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad40ec5101c3ac3825542bc316b0eb71
https://doi.org/10.1016/j.jalgebra.2013.04.015
https://doi.org/10.1016/j.jalgebra.2013.04.015