Rationality of Wreath Products of Groups

2013 ◽  
Vol 41 (5) ◽  
pp. 1878-1881 ◽  
Author(s):  
Ion Armeanu
Keyword(s):  
Wreath Products ◽  
Products Of Groups

Twisted wreath products of groups

1963 ◽  
Vol 14 (1) ◽  
pp. 1-6 ◽  
Author(s):  
B. H. Neumann
Keyword(s):  
Wreath Products ◽  
Products Of Groups

On the structure of standard wreath products of groups

1964 ◽  
Vol 84 (4) ◽  
pp. 343-373 ◽  
Author(s):  
Peter M. Neumann
Keyword(s):  
Wreath Products ◽  
Products Of Groups

On the Efficiency of Wreath Products of Groups

2000 ◽  
Author(s):  
H. Ayik ◽  
C. M. Campbell ◽  
J. J. O 'Connor ◽  
N. Ruskuc
Keyword(s):  
Wreath Products ◽  
Products Of Groups

scholarly journals Assouad–Nagata Dimension of Wreath Products of Groups

2014 ◽  
Vol 57 (2) ◽  
pp. 245-253
Author(s):  
N. Brodskiy ◽  
J. Dydak ◽  
U. Lang
Keyword(s):  
Linear Function ◽  
Wreath Product ◽  
Wreath Products ◽  
Finitely Generated ◽  
Products Of Groups ◽  
Nagata Dimension

AbstractConsider the wreath product H ≀ G, where H ≠ 1 is finite and G is finitely generated. We show that the Assouad–Nagata dimension dimAN(H ≀ G) of H ≀ G depends on the growth of G as follows: if the growth of G is not bounded by a linear function, then dimAN(H ≀ G) = ∞; otherwise dimAN(H ≀ G) = dimAN(G) ≤ 1.

Minimal Relations for Certain Wreath Products of Groups

1970 ◽  
Vol 22 (5) ◽  
pp. 1005-1009 ◽  
Author(s):  
D. L. Johnson
Keyword(s):  
Wreath Products ◽  
Number Of Generators ◽  
Products Of Groups ◽  
Image Position

Let p be a rational prime, G a non-trivial finite p group, and K the field of p elements, regarded as a trivial G-module according to context; then we define:d(G) = dimKH1(G, K), the minimal number of generators of G,r(G) = dimKH2(G, K),r′(G) = the minimal number of relations required to define G,where, in the last equation, it is sufficient to take the minimum over those presentations of G with d(G) generators. It is well known (see § 2) that the following inequalities hold:We shall consider only finite p-groups, so that the class of groups with r = d coincides with that consisting of those groups whose Schur multiplicator is trivial.

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