Covering monolithic groups with proper subgroups
عنوان مقاله: Covering monolithic groups with proper subgroups
شناسه ملی مقاله: JR_THEGR-2-1_011
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_THEGR-2-1_011
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
Martino Garonzi - University of Padova
خلاصه مقاله:
Martino Garonzi - University of Padova
Given a finite non-cyclic group G, call \sigma(G) the smallest number of proper subgroups of G needed to cover G. Lucchini and Detomi conjectured that if a nonabelian group G is such that \sigma(G) < \sigma(G/N) for every non-trivial normal subgroup N of G then G is monolithic, meaning that it admits a unique minimal normal subgroup. In this paper we show how this conjecture can be attacked by the direct study of monolithic groups.
کلمات کلیدی: Covers, Monolithic groups, Primitive groups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199961/