Finitely based varieties of pointed-groups

Martyn Quick

doi:10.1007/s00013-003-0753-9

Finitely based varieties of pointed-groups

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

Abstract

The links between finite basis results for varieties of pointed-groups and those for abstract groups are discussed. It is shown that every variety of nilpotent by abelian-of-finite-exponent pointed-groups is finitely based.

Original language	English
Pages (from-to)	614-620
Journal	Archiv der Mathematik
Volume	81
Issue number	6
DOIs	https://doi.org/10.1007/s00013-003-0753-9
Publication status	Published - Dec 2003

Access to Document

10.1007/s00013-003-0753-9

Cite this

@article{bcddcf24644e48b9b34b6ab8d20e40c0,

title = "Finitely based varieties of pointed-groups",

abstract = "The links between finite basis results for varieties of pointed-groups and those for abstract groups are discussed. It is shown that every variety of nilpotent by abelian-of-finite-exponent pointed-groups is finitely based.",

author = "Martyn Quick",

note = "Arch Math",

year = "2003",

month = dec,

doi = "10.1007/s00013-003-0753-9",

language = "English",

volume = "81",

pages = "614--620",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Finitely based varieties of pointed-groups

AU - Quick, Martyn

N1 - Arch Math

PY - 2003/12

Y1 - 2003/12

N2 - The links between finite basis results for varieties of pointed-groups and those for abstract groups are discussed. It is shown that every variety of nilpotent by abelian-of-finite-exponent pointed-groups is finitely based.

AB - The links between finite basis results for varieties of pointed-groups and those for abstract groups are discussed. It is shown that every variety of nilpotent by abelian-of-finite-exponent pointed-groups is finitely based.

UR - https://www.scopus.com/pages/publications/0348198356

UR - http://www.springerlink.com/content/5euqhrju4ah5arr9/?p=f20bb1933a6e4495b17c54ee3b6f2adf&pi=1

U2 - 10.1007/s00013-003-0753-9

DO - 10.1007/s00013-003-0753-9

M3 - Article

SN - 0003-889X

VL - 81

SP - 614

EP - 620

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Finitely based varieties of pointed-groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this