On locally finite groups factorized by locally nilpotent subgroups
نویسندگان
چکیده
منابع مشابه
Subgroups defining automorphisms in locally nilpotent groups
We investigate some situation in which automorphisms of a groupG are uniquely determined by their restrictions to a proper subgroup H . Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many (outer) automorphisms.
متن کاملlocally finite p-groups with all subgroups either subnormal or nilpotent-by-chernikov
we pursue further our investigation, begun in [h.~smith, groups with all subgroups subnormal or nilpotent-by-{c}hernikov, emph{rend. sem. mat. univ. padova} 126 (2011), 245--253] and continued in [g.~cutolo and h.~smith, locally finite groups with all subgroups subnormal or nilpotent-by-{c}hernikov. emph{centr. eur. j. math.} (to appear)] of groups $g$ in w...
متن کاملInert subgroups of uncountable locally finite groups
Let G be an uncountable universal locally finite group. We study subgroups H < G such that for every g ∈ G, |H : H ∩H| < |H|.
متن کاملLocally Nilpotent Linear Groups
This article examines aspects of the theory of locally nilpotent linear groups. We also present a new classification result for locally nilpotent linear groups over an arbitrary field F. 1. Why Locally Nilpotent Linear Groups? Linear (matrix) groups are a commonly used concrete representation of groups. The first investigations of linear groups were undertaken in the second half of the 19th cen...
متن کاملUniformly Recurrent Subgroups of Simple Locally Finite Groups
We study the uniformly recurrent subgroups of simple locally finite groups.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1996
ISSN: 0022-4049
DOI: 10.1016/0022-4049(95)00004-6