Results 61 to 70 of about 2,671 (177)
A Re‐Examination of Foundational Elements of Cosmology
Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
On Finite Essential Extensions of Torsion Free Abelian Groups
, 1996 Let A be a torsion free abelian group. We say that a group K is a finite essential extension of A if K contains an essential subgroup of finite index which is isomorphic to A.
K. Benabdallah, M. A. Ouldbeddi
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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 +5 more
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Linear Diophantine equations and conjugator length in 2‐step nilpotent groups
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
wiley +1 more source
Almost completely decomposable torsion free abelian groups
, 1974 A finite rank torsion free abelian group G G is almost completely decomposable if there exists a completely decomposable subgroup C C with finite index in G G .
E. L. Lady
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p$p$‐adic equidistribution and an application to S$S$‐units
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
Homomorphisms between $A$-projective Abelian groups and left Kasch-rings [PDF]
, 1985 summary:Glaz and Wickless introduced the class $G$ of mixed abelian groups $A$ which have finite torsion-free rank and satisfy the following three properties: i) $A_p$ is finite for all primes $p$, ii) $A$ is isomorphic to a pure subgroup of $\Pi _p ...
Albrecht, Ulrich, Jeong, Jong-Woo
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Abelian rank of normal torsion-free finite index subgroups of polyhedral groups [PDF]
Transactions of the American Mathematical Society, 1985 Suppose that P P is a convex polyhedron in the hyperbolic
openaire +2 more sources
The Dade group of a metacyclic $p$-group. [PDF]
, 2003 The Dade group $D(P)$ of a finite $p$-group $P$, formed by equivalence classes of endo-permutation modules, is a finitely generated abelian group. Its torsion-free rank equals the number of conjugacy classes of non-cyclic subgroups of $P$ and it is ...
Mazza, Nadia
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Linear representations of soluble groups of finite Morley rank
, 2010 Sufficient conditions are given for groups of finite Morley rank having nontrivial torsion-free nilpotent normal subgroups to have linear representations with small kernels.
Tuna Altınel, John Wilson
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