On products of cyclic and non-abelian finite p-groups

Brendan McCann

doi:10.32037/agta-2020-001

On products of cyclic and non-abelian finite p-groups

Brendan McCann

Department of Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a non-abelian subgroup whose class does not exceed^p₂ in most cases. Bounds for the derived length of such groups are also presented.

Original language	English
Pages (from-to)	5-37
Number of pages	33
Journal	Advances in Group Theory and Applications
Volume	9
DOIs	https://doi.org/10.32037/agta-2020-001
Publication status	Published - 2020

Keywords

Factorised group
Finite p-group
Product of groups

Access to Document

10.32037/agta-2020-001

Cite this

@article{a9ca30e8a1304a108c69bbbd75dc1ef4,

title = "On products of cyclic and non-abelian finite p-groups",

abstract = "For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a non-abelian subgroup whose class does not exceedp2 in most cases. Bounds for the derived length of such groups are also presented.",

keywords = "Factorised group, Finite p-group, Product of groups",

author = "Brendan McCann",

note = "Publisher Copyright: {\textcopyright} 2020 AGTA.",

year = "2020",

doi = "10.32037/agta-2020-001",

language = "English",

volume = "9",

pages = "5--37",

journal = "Advances in Group Theory and Applications",

issn = "2499-1287",

publisher = "Aracne Editrice",

}

TY - JOUR

T1 - On products of cyclic and non-abelian finite p-groups

AU - McCann, Brendan

PY - 2020

Y1 - 2020

N2 - For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a non-abelian subgroup whose class does not exceedp2 in most cases. Bounds for the derived length of such groups are also presented.

AB - For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a non-abelian subgroup whose class does not exceedp2 in most cases. Bounds for the derived length of such groups are also presented.

KW - Factorised group

KW - Finite p-group

KW - Product of groups

UR - http://www.scopus.com/inward/record.url?scp=85087883412&partnerID=8YFLogxK

U2 - 10.32037/agta-2020-001

DO - 10.32037/agta-2020-001

M3 - Article

AN - SCOPUS:85087883412

VL - 9

SP - 5

EP - 37

JO - Advances in Group Theory and Applications

JF - Advances in Group Theory and Applications

SN - 2499-1287

ER -

On products of cyclic and non-abelian finite p-groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this