[PDF] Top 20 On almost finitely generated nilpotent groups
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On almost finitely generated nilpotent groups
... In the category of abelian groups a subgroup of an fg-like group is fg-like, ii an extension of an fg-like group by an fg-like group is fg-like We thus devote much attention to the statu[r] ... See full document
6
On verbal subgroups of finitely generated nilpotent groups
... in finitely generated nilpotent ...poor finitely generated nilpotent group is a finite 𝑝-group with the lower 𝑝-central series for certain prime ... See full document
10
A sequence of factorizable subgroups
... of groups with max are finitely generated nilpotent groups and polycyclic ...each finitely generated nilpotent group and polycyclic group has a CF-sequence of ... See full document
10
Computing invariants for finitely presented nilpotent groups
... The second heuristic modification, i.e. reduction, is controlled by these other parameters. In steps 4,6,8 new elements are generated. When performing these steps the program checks the size of these entries. If ... See full document
178
Groups with many pronormal and transitively normal subgroups
... Proof. Suppose that G has finite 0-rank. Then G is nilpotent [21, Theorem 5], and we can apply Proposition 2.5. Suppose now that G has infinite 0- rank. Then G includes a free abelian subgroup A having infinite ... See full document
23
On invertor elements and finitely generated subgroups of groups acting on trees with inversions
... finitely generated subgroup H of G a conjugate of H contains a cyclically reduced ele- ment of length at least one or H is contained in a conjugate of a factor of ... See full document
11
On decomposable pseudofree groups
... finitely generated Abelian group, then N has a trivial Mislin ...finitely generated nilpotent group N as the set of isomorphism classes of (not necessarily finitely generated) nilpotent ... See full document
12
Groups with poly context free word problem
... context-free groups proved much more difficult to characterise than the groups with regular word problem, and it was not until the 1980s that a characterisation was ...a finitely generated ... See full document
120
On Semiabelian Groups
... abelian finitely generated group. Since G is two-generated nonpe- riodic, D is at most two-generated, and D = ...the almost direct product of groups G i , i ∈ I, if it satisfies ... See full document
6
Semigroups with finitely generated universal left congruence
... have been classified in [9, Theorem 9]. Our aim in this section is to generalise their result, by studying strong semilattices of semigroups, with and without an identity adjoined, and to examine the property of being ... See full document
37
Linear cellular automata: Garden of Eden Theorem, L-surjunctivity and group rings
... amenable groups includes, in particular, finite groups, solvable groups and finitely–generated groups of subexponential ... See full document
14
Twisted conjugacy and quasi isometric rigidity of irreducible lattices in semisimple lie groups
... generated groups that are quasi-isometric to irreducible lattices in real semisimple Lie groups with finite centre and finitely many connected ...such groups is a deep result that has ... See full document
10
Ore's theorem
... structure of finite abelian groups and finitely generated abelian groups, Ore's Theorem and its corollaries provide us with several results relating distributive lattices with cyclic g[r] ... See full document
44
Soluble Lie rings
... Finitely generated abelian by nilpotent groups are residually finite... have been obtained for Lie algebras:.[r] ... See full document
125
ONE-RELATOR GROUPS AND PROPER 3-REALIZABILITY
... of finitely generated one-relator groups and show that those having finitely many ends are properly 3-realizable, by describing what the fundamental pro-group looks like, showing a property of ... See full document
15
Commutators and Squares in Free Nilpotent Groups
... We prove that in the free nilpotent group F2,3 x1 , x2 of rank 2 and class 3 freely generated by x1 , x2 it is possible to write certain nontrivial commutators as a proper power.. We c[r] ... See full document
10
Some aspects of nilpotent groups
... is nilpotent. For example it is proved that, if N is finitely generated, then G is nilpotent although, in this case, no bound on the class of G is ...is nilpotent of class at most end + ... See full document
131
Some properties of nilpotent groups
... of generated by the elements 𝑤(g) as 𝑤 (x) = 1 varies over the laws and g varies over tuples from ...all groups) on {𝑎 𝜉+1 : 0 ≤ 𝜉 < 𝑟}, then one can prove that 𝐹/𝑉 (𝐹 ) is free ... See full document
12
Periodic rings with finitely generated underlying group
... finitely generated un- derlying abelian group reduces to knowing the finite rings, the periodic rings which are free of finite rank as groups, and computing some ring ... See full document
6
On the existence of complements in a group to some abelian normal subgroups
... is finitely generated and G/A is polycyclic–by–finite, A has a free abelian subgroup C such that A/C is periodic and Π(A/C) is finite (see [10, Corollary ...a finitely generated group. Suppose ... See full document
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