Results 71 to 80 of about 760,948 (301)
Geometric orbifolds with torsion free derived subgroup
Siberian Mathematical Journal, 2010 A geometric orbifold of dimension d is the quotient space S = X/K, where (X,G) is a geometry of dimension d and K < G is a co-compact discrete subgroup. In this case {ie38-01} is called the orbifold fundamental group of S. In general, the derived subgroup K’ of K may have elements acting with fixed points; i.e., it may happen that the homology cover MS
Hidalgo, R. A., Mednykh, A. D.
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On the torsion in the center conjecture
, 2017 We present a condition for towers of fiber bundles which implies that the fundamental group of the total space has a nilpotent subgroup of finite index whose torsion is contained in its center.
Kapovitch, Vitali +2 more
core +1 more source
On twists of modules over non-commutative Iwasawa algebras [PDF]
, 2015 It is well known that, for any finitely generated torsion module M over the Iwasawa algebra Z_p [[{\Gamma} ]], where {\Gamma} is isomorphic to Z_p, there exists a continuous p-adic character {\rho} of {\Gamma} such that, for every open subgroup U of ...
Jha, Somnath +2 more
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Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes [PDF]
Experimental Mathematics, 2017 We study torsion in homology of the random d-complex Y ∼ Yd(n, p) experimentally. Our experiments suggest that there is almost always a moment in the process, where there is an enormous burst of torsion in homology Hd − 1(Y).
Matthew Kahle +3 more
semanticscholar +1 more source
Torsion classes in the cohomology of congruence subgroups [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 1989 For any prime number p, let Γn, p denote the congruence subgroup of SLn(ℤ) of level p, i.e. the kernel of the surjective homomorphism fp: SLn(ℤ) → SLn(p) induced by the reduction mod p (Fp is the field with p elements). We defineusing upper left inclusions Γn, p ↪ Γn+1, p.
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Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
doaj
Profinite invariants of arithmetic groups
Forum of Mathematics, Sigma, 2020 We prove that the sign of the Euler characteristic of arithmetic groups with the congruence subgroup property is determined by the profinite completion. In contrast, we construct examples showing that this is not true for the Euler characteristic itself ...
Holger Kammeyer +3 more
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Geometric realization and K-theoretic decomposition of C*-algebras
, 1999 Suppose that A is a separable C*-algebra and that G_* is a (graded) subgroup of K_*(A). Then there is a natural short exact sequence 0 \to G_* \to K_*(A) \to K_*(A)/G_* \to 0.
C. L. Schochet, Claude Schochet
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Finitely presented wreath products and double coset decompositions [PDF]
, 2005 We characterize which permutational wreath products W^(X)\rtimes G are finitely presented. This occurs if and only if G and W are finitely presented, G acts on X with finitely generated stabilizers, and with finitely many orbits on the cartesian square X^
A. Dyubina +26 more
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Free subgroups with torsion quotients and profinite subgroups with torus quotients
Rendiconti del Seminario Matematico della Università di Padova, 2020 Here “group” means abelian group. Compact connected groups contain \delta -subgroups, that is, compact totally disconnected subgroups with torus quotients, which are essential ingredients in the important Resolution Theorem, a description of compact groups. Dually, full free subgroups of
Wayne Lewis, Peter Loth, Adolf Mader
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