Results 251 to 260 of about 26,682 (273)

Locally Graded n-Bell Groups

Algebra Colloquium, 2016
Let n ≠ 0, 1 be an integer and [Formula: see text] be the variety of n-Bell groups defined by the law [xn,y][x,yn]-1= 1. Let [Formula: see text] be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y such that [xn,y][x,yn]-1= 1. In this paper we prove [Formula: see text], where [Formula: see text] and [Formula: see
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Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes

Ukrainian Mathematical Journal, 1998
The paper deals with the class of locally graded groups such that each non-unit finitely generated subgroup of the group contains a non-unit subgroup of finite index; the class of RN-groups consists of groups with solvable subinvariant subgroup system; the class of RI-groups consists of groups with solvable invariant system.
Chernikov, N. S., Trebenko, D. Ya.
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On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three

Homology, Homotopy and Applications, 2022
Let \(E(2)\) be the \(3\)-local Johnson-Wilson spectrum with \(E(2)_* = \mathbb Z_{(3)}[v_1,v_2,v_2^{-1}]\) and let \(\mathrm{Pic}(\mathcal L_2)\) be the Picard group of the category of \(E(2)\)-local spectra. \textit{P. Goerss} et al. [J. Topol. 8, No.
Ichigi, Ippei, Shimomura, Katsumi
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On locally graded $n$-Engel and positively $n$-Engel groups

Publicationes Mathematicae Debrecen, 2009
Summary: We discuss four problems concerning \(n\)-Engel and so called positively \(n\)-Engel groups. As the answer to one of them we prove that in the class of locally graded groups every positively \(n\)-Engel group is locally nilpotent, which extends a similar result of \textit{D. M. Riley} [J. Group Theory 4, No.
Bajorska, Beata, Macedońska, Olga
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Factorization theorems for locally graded groups

Ukrainian Mathematical Journal, 1983
Proof. Note that the normalizer N =NG(H) is factorable with respect to the decomposition G =AB (see [2], Lemma 1.2 and the following remark). Suppose H is infinite and locally graded. By Lemma 7 of [I], it contains a chain of N-invariant subgroups H =HoDHi~...~Hi~ ..., i =0, i, 2, ..., such that each index [Hi:Hi+1 [ is finite and different from unity.
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The Association of Periprostatic Fat and Grade Group Progression in Men with Localized Prostate Cancer on Active Surveillance

Journal of Urology, 2021
Evidence suggests that visceral fat quantity may be associated with post-prostatectomy outcomes and risk of prostate cancer related death. We evaluated whether increased fat volume, normalized to prostate size, is associated with decreased risk of disease progression.Patients enrolled on a prospective active surveillance trial for at least 6 months who
Justin R, Gregg, Devaki Shilpa, Surasi, Alexandria, Childs, Nicholas, Moll, John F, Ward, Jeri, Kim, Carrie R, Daniel, Christopher, Logothetis, Tharakeswara, Bathala, John W, Davis   +9 more
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A note on locally graded groups

1995
A group \(G\) is locally graded if every non-trivial finitely generated subgroup of \(G\) has a non-trivial finite image. The class of locally graded groups is clearly not closed under forming homomorphic images. Thus it is interesting to know when a homomorphic image of a locally graded group is likewise locally graded. The authors prove that if \(G\)
LONGOBARDI, Patrizia, MAJ, Mercede, H. Smith   +2 more
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Optimization of the 2014 Gleason grade grouping in a Canadian cohort of patients with localized prostate cancer

BJU International, 2018
Objectives To evaluate the five‐tier Gleason grade group ( GG ) scoring of prostate cancers adopted by the International Society of Urology Pathology ( ISUP ) in 2014, and to propose modifications to ...
Michel Wissing, Fadi Brimo, Simone Chevalier, Eleonora Scarlata, Ginette McKercher, Ana O'Flaherty, Saro Aprikian, Valérie Thibodeau, Fred Saad, Michel Carmel, Louis Lacombe, Bernard Têtu, Nadia Ekindi‐Ndongo, Mathieu Latour, Dominique Trudel, Armen Aprikian   +15 more
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On locally graded groups with an Engel condition on infinite subsets

Archiv der Mathematik, 2001
This article is reviewed together with the following item Zbl 0981.20028.
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On the divisor class groups of localizations, completions and veronesean subrings of z-graded krull domains

ANNALI DELL UNIVERSITA DI FERRARA, 1984
LetR be aZ-graded, noetherian, integral domain. This paper deals mainly with the divisor class groups of localizations and completions with respect to an α-adic topology (α homogeneous) ofR. Some technical results are used to study the Veronesean subrings ofR.
PORTELLI, DARIO, SPANGHER, WALTER
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