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SUMMARY:Carmine Monetta (University of Salerno)
DTSTART:20201022T120000Z
DTEND:20201022T130000Z
DTSTAMP:20260423T041033Z
UID:AlBicocca/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AlBicocca/2/
 ">On the exponent of the non-abelian tensor square and related constructio
 ns of finite p-groups</a>\nby Carmine Monetta (University of Salerno) as p
 art of Al@Bicocca take-away\n\n\nAbstract\nAbstract: If $F$ is an operator
  in the class of finite groups\, it is quite natural to ask whether or not
  it is then possible to bound the exponent of $F(G)$ in terms of the expon
 ent of G only\, where G is a finite group. In 1991\, N. Rocco introduced t
 he operator $\\nu$ which associates to every group G a certain extension o
 f the non-abelian tensor square $G\\otimes G$ by $G\\times G$.\n\nIn this 
 talk we will give an exposition of a joint work with Raimundo Bastos\, Eme
 rson de Melo and Nathalia Goncalves\, where we deal with the restriction o
 f $\\nu$ to the class of finite p-groups\, for p a prime. More precisely\,
  we address the problem to determine bounds for the exponent of $\\nu(G)$ 
 and $G\\otimes G$ when $G$ is a finite p-group. The obtained bounds improv
 e some existing ones and depend on the exponent of $G$ and either on the n
 ilpotency class or on the coclass of the finite p-group $G$.\n
LOCATION:https://researchseminars.org/talk/AlBicocca/2/
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