Results 61 to 70 of about 73,642 (235)
Analytic Philosophy, EarlyView.ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley +1 more source
ADDITIVE GROUPS OF ASSOCIATIVE RINGS
Научный вестник МГТУ ГА, 2016 An abelian group is said to be semisimple if it is an additive group of at least one semisimple associative ring. It is proved that the description problem for semisimple groups is reduced to the case of reduced groups. As a consequence, it is shown that
E. I. Kompantseva
doaj
Growth problems in diagram categories
Bulletin of the London Mathematical Society, EarlyView.Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley +1 more source
Rationality of the zeta function of the subgroups of abelian $p$-groups
, 2017 Given a finite abelian $p$-group $F$, we prove an efficient recursive formula for $\sigma_a(F)=\sum_{\substack{H\leq F}}|H|^a$ where $H$ ranges over the subgroups of $F$.
Ramaré, Olivier
core +2 more sources
Rank and abelian rank of systems of equations over the free group [PDF]
Proceedings of the Edinburgh Mathematical Society, 1998 Given a finite irredundant system of equations to be solved over the free group, one has four non-negative integers: the number of equations, the number of indeterminants, the rank of the system and the Abelian rank of the system. We show which four-tuples can actually occur.
openaire +3 more sources
Units in group rings and blocks of Klein four or dihedral defect
Bulletin of the London Mathematical Society, EarlyView.Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
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The rank of group of cyclotomic units in abelian fields
Journal of Number Theory, 1982 Let \(K\) be an abelian extension of the rationals and let \(m\) be the conductor of it, i.e. the least integer \(n\) with the property that \(K\) lies in the \(n\)-th cyclotomic field. The author studies the cyclotomic units of \(K\) defined by \(\mathcal E_n = N((1 - z_m^h)/(1 - z_n))\) where \(z_m\) is the primitive \(m\)-th root of unity, \(N\) is ...
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Arithmetic sparsity in mixed Hodge settings
Bulletin of the London Mathematical Society, EarlyView.Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
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A Model of Three-Dimensional Lattice Gravity
, 1992 A model is proposed which generates all oriented $3d$ simplicial complexes weighted with an invariant associated with a topological lattice gauge theory.
Kopenhagen Ø Denmark +2 more
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On stabilizers in finite permutation groups
Bulletin of the London Mathematical Society, EarlyView.Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
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