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Finite groups whose minimal subgroups are normal

Joseph Buckley
- 01 Mar 1970 - 
- Vol. 116, Iss: 1, pp 15-17
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This article is published in Mathematische Zeitschrift.The article was published on 1970-03-01. It has received 202 citations till now. The article focuses on the topics: Locally finite group & Sporadic group.

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The Influence of Certain Abelian Subgroups on the Structure of Finite Groups

TL;DR: In this paper, the structure of a group G under the assumption that certain abelian subgroups of prime power order belong to the group G is investigated, and the set of all -subgroups of G is denoted by
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A note on p -supersolvable groups

TL;DR: In this article, sufficient conditions for a finite group G to be p-supersolvable have been obtained for a fixed odd prime p and for a Sylow p-subgroup of G.

On some developments in investigation of groups with prescribed properties of generalized normal subgroups

TL;DR: A survey of groups with prescribed properties of generalized normal subgroups can be found in this paper, where the main goal of this survey is to reflect some important developments in this area, including the work of Dedekind, Baer and Chernikov.
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On SQ-Supplemented Subgroups of Finite Groups

TL;DR: In this article, the structure of a finite group under the assumption that some subgroups of the group are SQ-supplemented in the group is studied and some known results are generalized.
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Endliche Gruppen I

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Finite groups in which the nonnormal subgroups have nontrivial intersection

TL;DR: In this article, the authors give an example of such a group and obtain the non-Abelian Dedekind groups of order a power of 2 by taking -4 to be the direct product of a cyclic group of order 4 with an elementary Abelian group and ~2 to be a unique element of J which is a square.