Locally Finite Groups with All Subgroups Normal-by-(Finite Rank)
نویسندگان
چکیده
منابع مشابه
Classifying fuzzy normal subgroups of finite groups
In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.
متن کاملON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS
Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...
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 کاملOn non-normal non-abelian subgroups of finite groups
In this paper we prove that a finite group $G$ having at most three conjugacy classes of non-normal non-abelian proper subgroups is always solvable except for $Gcong{rm{A_5}}$, which extends Theorem 3.3 in [Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable, Acta Math. Sinica (English Series) 27 (2011) 891--896.]. Moreover, we s...
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|.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7264