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Free unitary and symmetric pairs in normal subgroups of division rings with involution

Texto completo
Autor(es):
Goncalves, Jairo Z.
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Israel Journal of Mathematics; v. N/A, p. 20-pg., 2025-07-30.
Resumo

Let D be a division ring with center Z of char not equal 2, with an involution*. Let D dagger be the multiplicative group of D, and let N D dagger be a normal subgroup. An element u is an element of D dagger is said to be symmetric (unitary) if u* = u (respectively u* = u-1). Let U be the group of unitary units of D, and let NU be a non-central subgroup. Under some mild conditions we show that N contains a free unitary pair. We also present some results for the presence of free symmetric pairs in N D dagger. (AU)

Processo FAPESP: 20/16594-0 - Anéis não comutativos e aplicações
Beneficiário:Francisco Cesar Polcino Milies
Modalidade de apoio: Auxílio à Pesquisa - Temático