Results 31 to 40 of about 33,238 (212)
On torsion-free abelian groups and Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1958 It is known that many of the classes of simple Lie algebras of prime characteristic of nonclassical type have simple infinite-dimensional analogues of characteristic zero (see, for example, [4, p. 518]). We consider here analogues of those algebras which are defined by a modification of the definition of a group algebra.
openaire +2 more sources
Protoadditive functors, derived torsion theories and homology [PDF]
, 2011 Protoadditive functors are designed to replace additive functors in a non-abelian setting. Their properties are studied, in particular in relationship with torsion theories, Galois theory, homology and factorisation systems.
Everaert, Tomas, Gran, Marino
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Finitely generated abelian groups of units [PDF]
, 2019 In 1960 Fuchs posed the problem of characterizing the groups which are the groups of units of commutative rings. In the following years, some partial answers have been given to this question in particular cases.
Del Corso, Ilaria
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Characterizing group C*-algebras through their unitary groups: the Abelian case [PDF]
, 2010 We study to what extent group C*-algebras are characterized by their unitary groups. A complete characterization of which Abelian group C*-algebras have isomorphic unitary groups is obtained. We compare these results with other unitary-related invariants
Galindo, Jorge +1 more
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Non-unitarisable representations and random forests [PDF]
, 2008 We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely ...
Epstein, Inessa, Monod, Nicolas
core +3 more sources
On quasihomomorphisms with noncommutative targets [PDF]
, 2015 We describe structure of quasihomomorphisms from arbitrary groups to discrete groups. We show that all quasihomomorphisms are 'constructible', i.e., are obtained via certain natural operations from homomorphisms to some groups and quasihomomorphisms to ...
Fujiwara, Koji, Kapovich, Michael
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Spectral Analysis Implies Spectral Synthesis
MathematicsIn this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
doaj +1 more source
Some special classes of n-abelian groups [PDF]
International Journal of Group Theory, 2012 Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj
non-divisibility for abelian groups
پژوهشهای ریاضی, 2022 Introduction In Throughout all groups are abelian. Suppose that G is a group and n is a positive integer. For a ∈ G, if we consider the solution of the equation nx = a in G, two subsets of G are proposed.
mohammad reza vedadi, yaser Tolooei
doaj
The homotopy type of the loops on $(n-1)$-connected $(2n+1)$-manifolds
, 2018 For $n\geq 2$ we compute the homotopy groups of $(n-1)$-connected closed manifolds of dimension $(2n+1)$. Away from the finite set of primes dividing the order of the torsion subgroup in homology, the $p$-local homotopy groups of $M$ are determined by ...
A Berglund +24 more
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