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On the q-tensor square of a group
-
Ticianne P. Bueno
and
Noraí R. Rocco
Published/Copyright:
March 15, 2011
Abstract
We study the non-abelian tensor square modulo q of a group, where q is a non-negative integer, via an operator νq in the class of groups. Structural properties and finiteness conditions of νq(G) are investigated. We compute the non-abelian tensor square modulo q of cyclic groups and develop a theory for computing νq(G) and some of its relevant sections for polycyclic groups G. This extends the existing theory from the case q = 0 to all non-negative integers q. Additionally, a table of examples is produced with the help of the GAP system.
Received: 2010-07-14
Revised: 2010-11-24
Published Online: 2011-03-15
Published in Print: 2011-September
© de Gruyter 2011
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Articles in the same Issue
- A proof that Thompson's groups have infinitely many relative ends
- Quadratic properties in group amalgams
- Stabilizers of ℝ-trees with free isometric actions of FN
- On factorizations of finite groups with ℱ-hypercentral intersections of the factors
- On the involution module of SL2(2ƒ)
- A note on element centralizers in finite Coxeter groups
- Lattice-defined classes of finite groups with modular Sylow subgroups
- On groups with all proper subgroups of finite exponent
- A case-free characterization of hyperbolic Coxeter systems
- Corrigendum: Some class size conditions implying solvability of finite groups
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