[PDF] Top 20 Computable Torsion Abelian Groups
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Computable Torsion Abelian Groups
... We briefly discuss the proofs of Theorems 1.4 and 1.3. There have been enough argu- ments in recursion theory exploiting the failure of a diagonalisation attempt, the most closely related examples can be found in ... See full document
45
Sylow like theorems for $V(\mathbb{Z}G)$
... on torsion subgroups of the unit group of an integral group ...finite groups we prove that p - subgroups of the normalized unit group of its integral group rings V (ZG) are isomorphic to subgroups of ...has ... See full document
11
Balanced subgroups of Abelian groups
... and groups in C are similarly fundamental to our work with ...projective groups. Many of the results that are required for groups in these two classes also apply to arbitrary groups with ... See full document
120
On soluble groups whose subnormal subgroups are inert
... normal abelian sections by means of inertial ...is torsion-free abelian, then IAut(A) consists of maps γ such that there are coprime integers m, n (with n > 0) such ... See full document
8
Discrete torsion, covering groups and quiver diagrams
... Discrete torsion [2, 3] has become a meeting ground for many interesting sub-fields of string theory; its intimate relation with background B-fields and non-commutative geometry is one of its many salient ... See full document
29
Discrete torsion, non-abelian orbifolds and the Schur multiplier
... complicated groups we need a methodology to compute the Schur Multiplier, and we have many to our aid, for after all the computation of M (G) is a vast subject entirely by ... See full document
27
Some special classes of n-abelian groups
... Notice that in Theorem 2.7 one cannot replace the hypothesis that G is n-abelian by the weaker hypothesis that A is n-abelian. For example, consider the wreath product G of the cyclic group of order 2 by Q ... See full document
6
Splitting of extensions in the category of locally compact abelian groups
... discrete, torsion group. Let X be any discrete torsion-free ...a torsion group is cotorsion if and only if it is a direct sum of a bounded group and a divisible ...compact torsion group and a ... See full document
7
On a question of Wiegold and torsion images of Coxeter groups
... Coxeter groups which are not virtually abelian are “large", which is a particular case of the results by ...virtually abelian, there is 2 ℵ 0 pairwise non isomorphic quotients of ... See full document
19
On strongly almost \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective abelian \(p\)-groups
... (3) If K is a countable subgroup of G, then there is L ∈ C (that is, a nice subgroup L of G) such that K ⊆ L and L is countable. Furthermore, an important class of p-torsion groups is the class of all ... See full document
21
Some properties of torsion classes of abelian groups
... In Section 2 we consider some further examples of torsion classes determined by torsionfree groups and show that these may have quite distinct representations, for instance a group of ra[r] ... See full document
113
On the cotypeset of torsion-free abelian groups
... of torsion-free abelian groups is type and the typeset of a ...the torsion-free groups, has allocated many papers which are about the identifying this set for torsion-free ... See full document
13
Abelian group in a topos of sheaves: torsion and essential extensions
... in the category AbShL of Abellan groups in a topos of sheaves on a We show that every torsion group is a direct sum of its p-prlmary components and for a torsion group A, the group [A,B][r] ... See full document
10
The group of homomorphisms of abelian torsion groups
... A reduced algebraically compact group is called adjusted if it has no torsion free direct summands... A reduced algebraically compact group A is the direct sum of an.[r] ... See full document
12
SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
... tioned in chapter 1. As a result of his findings we investigated numerous progenitors of all di↵erent types in the hope of finding sporadic groups. We wrote such progenitors on many groups with no thinking ... See full document
168
On component extensions locally compact abelian groups
... for all connected groups C ∈ £. by [5, Theorem 3.6], G 0 ∼ = R n L C where C is a compact group having a cotorsion dual. (3) ⇒ (2): Let G ∼ = R n L C L A where C is a compact connected group having a cotorsion ... See full document
11
Bracket Products on Locally Compact Abelian Groups
... We define a new function-valued inner product on L 2 (G), called φ-bracket product, where G is a locally compact abelian group and φ is a topological isomorphism on G. We investigate the notion of φ-orthogonality, ... See full document
6
Non-Abelian Sequenceable Groups Involving ?-Covers
... sequenceable groups which was posed firstly in [2], inspired us to give the Definition ...which groups are sequenceable? And how applicable may be the sequenceability of finite groups? ... See full document
6
Groups satisfying certain rank conditions
... of groups satisfying the various rank ...consider groups whose proper subgroups typically satisfy some rank conditions; this involves more recent results as well as certain of the classical ...with ... See full document
17
Torsion points and height jumping in higher-dimensional families of abelian varieties
... of abelian varieties over Q and a section of infinite order, the set of rational points in the base where the section becomes torsion is not Zariski ...for abelian varieties of any dimension if the ... See full document
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