The weak commutativity group chi(G) is generated by two isomorphic groups G and G(phi) subject to the relations [g; g(phi)] =1 for all g is an element of G. We present new bounds for the exponent of chi(G) and its sections, when G is a finite p-group.
On weak commutativity in p-groups
Monetta C.
2023-01-01
Abstract
The weak commutativity group chi(G) is generated by two isomorphic groups G and G(phi) subject to the relations [g; g(phi)] =1 for all g is an element of G. We present new bounds for the exponent of chi(G) and its sections, when G is a finite p-group.File in questo prodotto:
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