Locally Soluble-by-Finite Groups with the Weak Minimal Condition on Non-Nilpotent Subgroups
نویسندگان
چکیده
منابع مشابه
Nilpotent groups with three conjugacy classes of non-normal subgroups
Let $G$ be a finite group and $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. In this paper, all nilpotent groups $G$ with $nu(G)=3$ are classified.
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 کاملLocally soluble-by-finite groups with small deviation for non-subnormal subgroups
A group G has subnormal deviation at most 1 if, for every descending chain H0 > H1 > . . . of non-subnormal subgroups of G, for all but finitely many i there is no infinite descending chain of non-subnormal subgroups of G that contain Hi+1 and are contained in Hi. This property P, say, was investigated in a previous paper by the authors, where soluble groups with P and locally nilpotent groups ...
متن کاملLocally Nilpotent Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension
Let V be a vector space over a field F . If G≤GL(V, F ), the central dimension of G is the F -dimension of the vector space V/CV (G). In [DEK] and [KS], soluble linear groups in which the set Licd(G) of all proper infinite central dimensional subgroups of G satisfies the minimal condition and the maximal condition, respectively, have been described. On the other hand, in [MOS], periodic locally...
متن کاملGroups with the weak minimal condition for non-subnormal subgroups II
Let G be a group with the property that there are no infinite descending chains of non-subnormal subgroups of G for which all successive indices are infinite. The main result is that if G is a locally (soluble-by-finite) group with this property then either G has all subgroups subnormal or G is a soluble-by-finite minimax group. This result fills a gap left in an earlier paper by the same autho...
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 Algebra
سال: 2002
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9072