صورة الغلاف

Sobre uma Construção Relacionada ao Quadrado Tensional não-Abeliano de um Grupo

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: ANDRADE, Agenor Freitas de
تاريخ النشر: 2011
التنسيق: Master thesis
اللغة: por
المصدر: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tde/1943
الملخص: Let G and Gj be isomorphic groups. We study the group V (G) which is an extension of the non-abelian tensor square of a group G, G G. Looking for V (G) as an operator in the class of groups, we observe that this operator preserves some properties of the group G such as finiteness, nilpotency and solubility. For a p-group finite G we find an upper bound for the order of G G. Finally, we verified computationally, for some groups, and that the results and also the bounds for the orders of the groups shown here are actually respected.
الملخص:Let G and Gj be isomorphic groups. We study the group V (G) which is an extension of the non-abelian tensor square of a group G, G G. Looking for V (G) as an operator in the class of groups, we observe that this operator preserves some properties of the group G such as finiteness, nilpotency and solubility. For a p-group finite G we find an upper bound for the order of G G. Finally, we verified computationally, for some groups, and that the results and also the bounds for the orders of the groups shown here are actually respected.

مواد مشابهة