Zobrazeno 1 - 10
of 62
pro vyhledávání: '"M. Mahdavi-Hezavehi"'
Publikováno v:
Communications in Algebra. 46:1207-1211
Let D be a division algebra algebraic over its center F. Given a (Krull) valuation v on F, it is shown that v extends to a valuation on D if and only if for each separable element c∈D′ there exists a valuation w on K: = F(c) extending v on F such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec6259ce50976f5f850232466da7f43d
https://doi.org/10.1080/00927872.2017.1339065
https://doi.org/10.1080/00927872.2017.1339065
Publikováno v:
Communications in Algebra. 45:3724-3729
Let D be a noncommutative finite dimensional F-central division algebra and M a noncommutative maximal subgroup of GLn(D). It is shown that either M contains a noncyclic free subgroup or M is absolutely irreducible and there exists a unique maximal s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e3ab129769fe9e449226f0f09586ac7
https://doi.org/10.1080/00927872.2016.1244678
https://doi.org/10.1080/00927872.2016.1244678
Publikováno v:
Algebra Colloquium. 21:483-496
Given a non-commutative finite dimensional F-central division algebra D, we study conditions under which every non-abelian maximal subgroup M of GLn(D) contains a non-cyclic free subgroup. In general, it is shown that either M contains a non-cyclic f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bb1091fff5afa9a8c0f43071a9626b8
https://doi.org/10.1142/s100538671400042x
https://doi.org/10.1142/s100538671400042x
Autor:
M. Mahdavi-Hezavehi, M. Motiee
Publikováno v:
Communications in Algebra. 40:2645-2670
Let D be an F-central division algebra of index n. Here we present a criterion for the triviality of the group G(D) = D*/Nrd D/F (D*)D′ and thus generalizing various related results published recently. To be more precise, it is shown that G(D) = 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cca7d587926e2006be0767b453565d0d
https://doi.org/10.1080/00927872.2011.584200
https://doi.org/10.1080/00927872.2011.584200
Publikováno v:
Journal of Algebra and Its Applications. 10:1371-1382
Let D be an F-central non-commutative division ring. Here, it is proved that if GL n(D) contains a non-abelian soluble maximal subgroup, then n = 1, [D : F] < ∞, and D is cyclic of degree p, a prime. Furthermore, a classification of soluble maximal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::125427ab0a74869bae90d4394a248071
https://doi.org/10.1142/s0219498811005233
https://doi.org/10.1142/s0219498811005233
Autor:
M. Motiee, M. Mahdavi-Hezavehi
Publikováno v:
Communications in Algebra. 39:4084-4096
Given a divisible finite field extension K/F, the structure of Br(F), the Brauer group of F, is investigated. It is shown that, if F is indivisible, then Br(F) ≅ ℤ2, which generalizes the Frobenius Theorem. As a consequence, when F is indivisible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9ba8de00f6e9ad24811e2bfa1122e7d
https://doi.org/10.1080/00927872.2010.517819
https://doi.org/10.1080/00927872.2010.517819
Publikováno v:
Journal of Algebra and Its Applications. :921-932
Given a finite dimensional F-central simple algebra A = Mn(D), the connection between the Frattini subgroup Φ(A*) and Φ(F*) via Z(A'), the center of the derived group of A*, is investigated. Setting G = F* ∩ Φ(A*), it is shown that [Formula: see
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65c6dcb5a97759192d18e64e79873989
https://doi.org/10.1142/s0219498810004300
https://doi.org/10.1142/s0219498810004300
Autor:
M. Mahdavi-Hezavehi, Dariush Kiani
Publikováno v:
Communications in Algebra. 38:2354-2363
Let D be a noncommutative finite dimensional F-central division algebra, and let N be a normal subgroup of GL n (D) with n ≥ 1. Given a maximal subgroup M of N, it is proved that either M contains a noncyclic free subgroup, or there exists an abeli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8657b4bdbb1630c92b7a87827ecae04b
https://doi.org/10.1080/00927870903400063
https://doi.org/10.1080/00927870903400063
Autor:
T. Keshavarzipour, M. Mahdavi-Hezavehi
Publikováno v:
Journal of Algebra. 315:738-744
Let M m ( D ) be a finite dimensional F-central simple algebra. It is shown that M m ( D ) is a crossed product over a maximal subfield if and only if GL m ( D ) has an irreducible subgroup G containing a normal abelian subgroup A such that C G ( A )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f950f0f424b240e4391dee52e36ea66f
https://doi.org/10.1016/j.jalgebra.2007.05.002
https://doi.org/10.1016/j.jalgebra.2007.05.002
Publikováno v:
Israel Journal of Mathematics. 145:325-331
LetD be a finite-dimensionalF-central division algebra. A criterion is given forD to be a supersoluble (nilpotent) crossed product division algebra in terms of subgroups of the multiplicative groupD* ofD. More precisely, it is shown thatD is a supers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25ae9d391c8c92ef72cbab06984df83c
https://doi.org/10.1007/bf02786697
https://doi.org/10.1007/bf02786697