ProV Logo
0
Weak Commutativity Between Two Isomorphi...
Lima, Bruno César R...

Free

Weak Commutativity Between Two Isomorphic Polycyclic Groups by Lima, Bruno César Rodrigues ( Author )
Lemonjar Open Access
N.A
19-09-2014
The operator of weak commutativity between isomorphic groups H and Hψ was defined by Sidki as χ(H)=⟨HHψ∣[h,hψ]=1∀h∈H⟩. % It is known that the operator χ preserves group properties such as finiteness, solubility and also nilpotency for finitely generated groups. We prove in this work that χ preserves the properties of being polycyclic and polycyclic by finite. As a consequence of this result, we conclude that the non-abelian tensor square H⊗H of a group H, defined by Brown and Loday, preserves the property polycyclic by finite. This last result extends that of Blyth and Morse who proved that H⊗H is polycyclic if H is polycyclic.
-
Article
pdf
36.88 KB
English
-
MYR 0.01
-
http://arxiv.org/abs/1409.5511
Share this eBook