Results 11 to 20 of about 626 (221)

Some torsion-free solvable groups with few subquotients

, 2023
International audienceWe construct finitely generated torsion-free solvable groups $G$ that have infinite rank, but such that all finitely generated torsion-free metabelian subquotients of $G$ are virtually abelian.
Le Boudec, Adrien, Matte Bon, Nicolás
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The cobordism group of homology cylinders [PDF]

, 2010
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface. This group can be regarded as an enlargement of the mapping class group.
Friedl, Stefan, Taehee Kim, Jae Choon Cha, Kim, Taehee, Stefan Friedl, Cha, Jae Choon   +5 more
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Butler groups of infinite rank [PDF]

, 1992
For a fixed proper subgroup R (of type t) of the group Q of rational numbers, a torsion-free group A is called an R-group if it satisfies Bext1(A, R) = 0, where Bext stands for the set of balanced extensions.
Fuchs, Laszlo, Bican, Ladislav, Fuchs, L., Bican, L.   +3 more
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On the subgroups of completely decomposable torsion-free groups that are ideals in every ring [PDF]

, 2012
summary:In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such ...
Karimi, F., Aghdam, A. M., Najafizadeh, A.   +2 more
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Finitely presented infinite simple groups

, 2023
This thesis is mainly concerned with the development of a procedure to construct finitely presented infinite simple groups. The finitely presented groups, Gn,i, constructed by G.Higman [5) are extended by certain subgroups, H, of the inverse limit of
Scott, Elizabeth A.
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A geometric approach to elliptic curves with torsion groups Z/10Z, Z/12Z, Z/14Z, and Z/16Z

, 2023
We give new parametrisations of elliptic curves in Weierstrass normal form y2 = x3 + ax2 + bx with torsion groups Z/10Z and Z/12Z over Q, and with Z/14Z and Z/16Z over quadratic fields.
Norbert Hungerbühler, Halbeisen, Lorenz, Hungerbühler, Norbert, Voznyy, Maksym, Shamsi Zargar, Arman, Arman Shamsi Zargar, Maksym Voznyy, Lorenz Halbeisen   +7 more
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Butler groups of infinite rank

, 1995
Butler groups are torsion-free abelian groups which — in the infinite rank case — can be defined in two different ways. One definition requires that all the balanced extensions of torsion groups by them are splitting, while the other stipulates that they
Fuchs, L.
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RANK, COMBINATORIAL COST AND HOMOLOGY TORSION GROWTH IN HIGHER RANK LATTICES [PDF]

, 2016
. We investigate the rank gradient and growth of torsion in homol-ogy in residually finite groups. As a tool, we introduce a new complexity notion for generating sets, using measured groupoids and combinatorial cost.
Nikolov, N., Nikolov, Nikolay, Tsachik Gelander, Gelander, Tsachik, Abért, Miklós, Abert, M, Gelander, T, Nikolov, N, Gelander, T., Nikolay Nikolov, Miklos Abert   +10 more
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Exon 7 splicing of ERα predicts poor prognosis and increases phenotypic heterogeneity in luminal a subtype breast cancer

FEBS Open Bio, EarlyView.
ERα splice variant ERα∆7 lacks the C‐terminus, and its expression may change phenotypes of breast cancers. Our results showed that ERα∆7 is found in the luminal A subtype, and elevated ERα∆7 levels are linked to improved cell survival with lower proliferation and migration.
Long Wai Tsui, Taobo Hu, Thomson Christian Husein, Wai Hei Shek, Bingrong Chen, Depeng Wang, Shu Wang, Weichuan Yu, Xiaodan Fan, Mengping Long, Toyotaka Ishibashi   +10 more
wiley   +1 more source

Quasi-balanced torsion-free groups [PDF]

, 1998
summary:An exact sequence $0\to A\to B\to C\to 0$ of torsion-free abelian groups is quasi-balanced if the induced sequence $$ 0\to \bold Q\otimes\operatorname{Hom}(X,A)\to\bold Q\otimes\operatorname{Hom}(X,B) \to\bold Q\otimes\operatorname{Hom}(X,C)\to 0
Ullery, William, Goeters, H. Pat
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