Results 211 to 220 of about 22,441 (260)
ABSTRACT Objective To evaluate the efficacy and safety of ofatumumab in patients with myelin oligodendrocyte glycoprotein antibody–associated disease (MOGAD), and compare it with rituximab. Methods We conducted a single–center, observational study including 22 MOGAD patients treated with ofatumumab and 21 treated with rituximab.
Yuxin Fan +5 more
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Dimethyl Fumarate, But Not Rituximab, Reduces Serum GFAP Levels and PIRMA in Relapsing–Remitting MS
ABSTRACT Objective Serum neurofilament light chain (sNfL) and glial fibrillary acidic protein (sGFAP) levels are believed to reflect mainly acute and chronic disease processes in multiple sclerosis (MS), respectively. In this study, we investigated whether dimethyl fumarate (DMF) and rituximab (RTX) differentially affect these biomarkers.
F. Shawket +14 more
wiley +1 more source
Imbedding of periodic groups in simple periodic groups
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Ольшанский, А.Ю.
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Siberian Mathematical Journal, 2023
In this paper, a Frobenius group \(G\) is a semidirect product \(G=FH\) such that \(H \cap H^{g}=\{1\}\) for every \(g \in G \setminus H\) and \(F \setminus \{1\}=G \setminus \bigcup_{g \in G} H^{g}\). The normal subgroup \(F\) is the (Frobenius) kernel of \(G\) and \(H\) is the (Frobenius) complement of \(G\).
D. V. Lytkina, V. D. Mazurov
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In this paper, a Frobenius group \(G\) is a semidirect product \(G=FH\) such that \(H \cap H^{g}=\{1\}\) for every \(g \in G \setminus H\) and \(F \setminus \{1\}=G \setminus \bigcup_{g \in G} H^{g}\). The normal subgroup \(F\) is the (Frobenius) kernel of \(G\) and \(H\) is the (Frobenius) complement of \(G\).
D. V. Lytkina, V. D. Mazurov
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Algebra and Logic, 2005
A dihedral group is a group generated by two involutions. The authors call a group \(G\) saturated by dihedral groups, if every finite subgroup of \(G\) is contained in a dihedral subgroup of \(G\). First, the authors establish the structure of an arbitrary periodic group saturated by dihedral groups.
Shlepkin, A. K., Rubashkin, A. G.
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A dihedral group is a group generated by two involutions. The authors call a group \(G\) saturated by dihedral groups, if every finite subgroup of \(G\) is contained in a dihedral subgroup of \(G\). First, the authors establish the structure of an arbitrary periodic group saturated by dihedral groups.
Shlepkin, A. K., Rubashkin, A. G.
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Infinite Groups of Finite Period
Algebra and Logic, 2015A first, important, result of this paper is that there exist periodic groups containing elements of even order and only trivial normal \(2\)-subgroups, in which every pair of involutions generates a \(2\)-group. This proves that, in general, the Baer-Suzuki theorem cannot be extended to periodic groups and gives a negative answer to Question 11.11a in ...
Mazurov, V. D. +2 more
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On the Product of Subsets in Periodic Groups
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022Let \(S\) be a finite subset of a group \(G\). Denote the set of all-possible products of the form \(a_1\cdot a_t\), where \(a_i\in S\) by \(S^{t}\). \textit{M.-C. Chang} [J. Inst. Math. Jussieu 7, No. 1, 1--25 (2008; Zbl 1167.20328)] proved that for any finite subset of the free group not belonging to any cyclic subgroup, there exist constants \(c ...
Atabekyan, V. S., Mikaelyan, V. G.
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ON PERIODIC PRODUCTS OF GROUPS
International Journal of Algebra and Computation, 1995Adian introduced periodic n-products of groups which are given by imposing of defining relations of the form An=1 on the free product [Formula: see text] of groups Gα, α∈I, without involutions. The defining relations An=1 are constructed by a complicated induction which is quite similar to the inductive construction of free Burnside groups due to ...
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Mathematics of the USSR-Izvestiya, 1968
In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.
P S Novikov, S I Adjan
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In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.
P S Novikov, S I Adjan
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Nonunitarizable periodic groups
Mathematical Notes, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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