Results 211 to 220 of about 49,111 (227)

Totally permutable torsion subgroups

Journal of Group Theory, 1999
The well known fact that the product of two normal supersoluble subgroups is not in general supersoluble makes interesting the study of factorized groups whose subgroup factors are connected by certain permutability properties. In particular, \textit{M. Asaad} and \textit{A. Shaalan} [in Arch. Math. 53, No. 4, 318-326 (1989; Zbl 0685.20018)] introduced
Beidleman, J., Heineken, H.
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Tight subgroups in torsion-free Abelian groups

Israel Journal of Mathematics, 2003
The paper deals with ``tight subgroups'' of torsion-free Abelian groups, namely those subgroups that are maximal with respect to being completely decomposable. Tight subgroups were first studied by \textit{K. Benabdallah}, \textit{A. Mader} and \textit{M. A. Ould-Beddi} [J. Algebra 225, No.
Ould-Beddi, Mohamed A., Strüngmann, Lutz   +1 more
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Torsion Subgroups of Incidence Algebras

Communications in Algebra, 2006
Certain torsion subgroups of the incidence algebra are shown to be Abelian. If the underlying partially ordered set is finite, it is shown that there is a matrix within the incidence algebra which simultaneously diagonalizes each element of such a subgroup.
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Torsion Free Commutator Subgroups of Generalized Coxeter Groups

Results in Mathematics, 2005
A generalized Coxeter group \(G\) is a group generated by elements \(x_1,\dots,x_n\) subject to relations of the kind \(x_r^{k_r}=(x_i^{\alpha_{ij}}x_j^{\beta_{ij}})^{l_{ij}}=1\). The authors study conditions under which the commutator subgroup of \(G\) is torsion free.
Hidalgo, Rubén A., Rosenberger, Gerhard
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Uniform boundedness of torsion subgroups of linear groups

Acta Mathematica Sinica, English Series, 2008
Let \(G\subset\text{GL}_d\) be a connected linear algebraic group defined over a field \(k\) finitely generated over the rational numbers. Then the order of any torsion subgroup of \(G(k)\) is bounded by a constant depending only on \(d\) and \(k\). For Abelian varieties \(G\) and number fields \(k\), a similar result is the torsion conjecture.
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Rational torsion subgroups of modular Jacobian varieties

Journal of Number Theory, 2018
Abstract In this article, we study the Q -rational torsion subgroups of the Jacobian varieties of modular curves. The main result is that, for any positive integer N, J 0 ( N ) ( Q ) tor [ q ∞ ] = 0 if q is a prime not dividing 6 ⋅ N ⋅ ∏ p | N ( p 2 − 1 ) .
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Torsion-free groups with all subgroups subnormal

Archiv der Mathematik, 2001
Over the last thirty-five years there has been a major effort to understand the structure of groups in which every subgroup is subnormal. This culminated in the important result of Möhres that such groups are soluble. Here the author studies torsion-free groups with every subgroup subnormal and he improves his previous result by showing that such ...
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Torsion-free groups in which every subgroup is subnormal

Rendiconti del Circolo Matematico di Palermo, 2001
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On torsion subgroups of whitehead groups of division algebras

Manuscripta Mathematica, 2012
Let \(F\) be a field, \(D\) a finite-dimensional central division \(F\)-algebra, \(D^*\) the multiplicative group of \(D\), and \(T(D)\) the maximal torsion subgroup of the \(K\)-group \(K_1(D)\cong D^*/[D^*,D^*]\). The paper under review shows that if the degree \(\deg(D)\) is a prime number, then \(T(D)\) is a locally cyclic group, i.e., finitely ...
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Some torsion-free subgroups in group rings

2016
Let \(G\) be an arbitrary group and let \(R\) be a commutative ring with identity. Denote by \(\Delta_R(G)\) the augmentation ideal of the group algebra \(RG\). Given a normal subgroup \(N\) of \(G\), let \(\Delta_R(G,N)\) be the kernel of the natural homomorphism \(RG\to R(G/N)\).
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