Groups with Polycyclic Non-Normal Subgroups

Silvana Franciosi; Francesco De Giovanni; Martin L. Newell

doi:10.1007/s10011-000-0033-1

Groups with Polycyclic Non-Normal Subgroups

Silvana Franciosi, Francesco De Giovanni, Martin L. Newell

Mathematics

University of Naples Federico II

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

14 Citations (Scopus)

Abstract

The structure of groups in which many subgroups have a certain property χ has been investigated for several choices of the property χ. Groups whose non-normal subgroups satisfy certain finite rank conditions are studied in this article. In particular, a classification of groups in which every subgroup is either normal or polycyclic is given.

Original language	English
Pages (from-to)	33-42
Number of pages	10
Journal	Algebra Colloquium
Volume	7
Issue number	1
DOIs	https://doi.org/10.1007/s10011-000-0033-1
Publication status	Published - 2000

Keywords

Locally graded group
Polycyclic subgroup

Access to Document

10.1007/s10011-000-0033-1

Cite this

@article{5722bd22e50e45e8a1d8483cb2e0deaf,

title = "Groups with Polycyclic Non-Normal Subgroups",

abstract = "The structure of groups in which many subgroups have a certain property χ has been investigated for several choices of the property χ. Groups whose non-normal subgroups satisfy certain finite rank conditions are studied in this article. In particular, a classification of groups in which every subgroup is either normal or polycyclic is given.",

keywords = "Locally graded group, Polycyclic subgroup",

author = "Silvana Franciosi and \{De Giovanni\}, Francesco and Newell, \{Martin L.\}",

year = "2000",

doi = "10.1007/s10011-000-0033-1",

language = "English",

volume = "7",

pages = "33--42",

journal = "Algebra Colloquium",

issn = "1005-3867",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Groups with Polycyclic Non-Normal Subgroups

AU - Franciosi, Silvana

AU - De Giovanni, Francesco

AU - Newell, Martin L.

PY - 2000

Y1 - 2000

N2 - The structure of groups in which many subgroups have a certain property χ has been investigated for several choices of the property χ. Groups whose non-normal subgroups satisfy certain finite rank conditions are studied in this article. In particular, a classification of groups in which every subgroup is either normal or polycyclic is given.

AB - The structure of groups in which many subgroups have a certain property χ has been investigated for several choices of the property χ. Groups whose non-normal subgroups satisfy certain finite rank conditions are studied in this article. In particular, a classification of groups in which every subgroup is either normal or polycyclic is given.

KW - Locally graded group

KW - Polycyclic subgroup

UR - https://www.scopus.com/pages/publications/0034379016

U2 - 10.1007/s10011-000-0033-1

DO - 10.1007/s10011-000-0033-1

M3 - Article

AN - SCOPUS:0034379016

SN - 1005-3867

VL - 7

SP - 33

EP - 42

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 1

ER -

Groups with Polycyclic Non-Normal Subgroups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this