Results 1 to 10 of about 181,507 (166)
Entropy on abelian groups [PDF]
Advances in Mathematics, 2016 We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriately modifying existing notions of entropy. The basic properties of the algebraic entropy are given, as well as various examples. The main result of this paper is the Addition Theorem showing that the algebraic entropy is additive in appropriate sense with ...
DIKRANJAN, Dikran, GIORDANO BRUNO, Anna
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On cosmall Abelian groups [PDF]
Journal of Algebra, 2007 AbstractIt is a well-known homological fact that every Abelian group G has the property that Hom(G,−) commutes with direct products. Here we investigate the ‘dual’ property: an Abelian group G is said to be cosmall if Hom(−,G) commutes with direct products.
Goldsmith, Brendan, Kolman, O.
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Perpendicularity in an Abelian Group [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in(ℤn,+)and(ℚ+,·)and in certain other groups. Our approach provides a justification for the use of the symbol⊥denoting relative primeness in number theory and extends the domain of this convention to some degree ...
Haukkanen, Pentti +3 more
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Weyl groups and abelian varieties [PDF]
Journal of Group Theory, 2006 20 pages, to appear in Journal of Group ...
Carocca, Angel +2 more
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Abelian networks III. The critical group [PDF]
, 2015 The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph.
Bond, Benjamin, Levine, Lionel
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On nilpotent but not abelian groups and abelian but not cyclic groups
Journal of Number Theory, 1988 AbstractWe derive asymptotic formulas for A(n) − C(n) = | {m < n: every group of order m is abelian but not every group of order m is cyclic}|, N(n) − A(n) = | {m < n: every group of order m is nilpotent but not every group of order m is abelian}|, and related counting functions from group theory.
Paul Erdös, Michael E. Mays
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Brou\'e's abelian defect group conjecture holds for the Harada-Norton sporadic simple group $HN$ [PDF]
, 2009 In representation theory of finite groups, there is a well-known and important conjecture due to M. Brou\'e. He conjectures that, for any prime $p$, if a $p$-block $A$ of a finite group $G$ has an abelian defect group $P$, then $A$ and its Brauer ...
Koshitani, Shigeo, Müller, Jürgen
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Automorphisms of abelian group extensions [PDF]
, 2009 Let $1 \to N \to G \to H \to 1$ be an abelian extension. The purpose of this paper is to study the problem of extending automorphisms of $N$ and lifting automorphisms of $H$ to certain automorphisms of $G$.Comment: 11 ...
Passi, I. B. S. +2 more
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Degeneracy and decomposability in abelian crossed products [PDF]
, 2010 In this paper we study the relationship between degeneracy and decomposability in abelian crossed products. In particular we construct an indecomposable abelian crossed product division algebra of exponent $p$ and index $p^2$ for $p$ an odd prime.
McKinnie, Kelly
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On groups and counter automata [PDF]
, 2006 We study finitely generated groups whose word problems are accepted by counter automata. We show that a group has word problem accepted by a blind n-counter automaton in the sense of Greibach if and only if it is virtually free abelian of rank n; this ...
Dixon J. D. +8 more
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