Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov
عنوان مقاله: Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov
شناسه ملی مقاله: JR_THEGR-1-1_006
منتشر شده در در سال 1391
شناسه ملی مقاله: JR_THEGR-1-1_006
منتشر شده در در سال 1391
مشخصات نویسندگان مقاله:
G. Cutolo
H. Smith
خلاصه مقاله:
G. Cutolo
H. Smith
We pursue further our investigation, begun in [H. Smith, Groups with all subgroups subnormal or nilpotent-by-Chernikov, Rend. Sem. Mat. Univ. Padova, ۱۲۶ (۲۰۱۱), ۲۴۵-۲۵۳] and continued in [G. Cutolo and H. Smith, Locally finite groups with all subgroups subnormal or nilpotent-by-Chernikov. Centr. Eur. J. Math., (to appear)] of groups $G$ in which all subgroups are either subnormal or nilpotent-by-Chernikov. Denoting by $\mathfrak{X}$ the class of all such groups, our concern here is with locally finite p-groups in the class $\mathfrak{X}$, where $p$ is a prime, while an earlier article provided a reasonable classification of locally finite $\mathfrak{X}$ nb-groups in which all of the p-sections are nilpotent-by-Chernikov. Our main result is that if $G$ is a Baer p-group in $\mathfrak{X}$ then $G$ is nilpotent-by-Chernikov.
کلمات کلیدی: locally finite groups, subnormal subgroups, nilpotent-by-Chernikov groups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1198825/