Using the Mal'cev correspondence for collection in polycyclic groups

B. Assmann; Stephen Alexander Linton

doi:10.1016/j.jalgebra.2007.01.028

Using the Mal'cev correspondence for collection in polycyclic groups

B. Assmann, Stephen Alexander Linton

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

5 Citations (Scopus)

Abstract

We describe several approaches for realizing the Mal'cev correspondence between Q-powered nilpotent groups and nilpotent Lie algebras over Q. We apply it to fast collection in polycyclic groups. Our methods are fully implemented and publicly available. We report on the implementation and give runtimes for some example groups. (c) 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	828-848
Number of pages	21
Journal	Journal of Algebra
Volume	316
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2007.01.028
Publication status	Published - 15 Oct 2007

Keywords

polycyclically presented groups
Mal'cev correspondence
collection
collection from the
REPRESENTATIONS

Access to Document

10.1016/j.jalgebra.2007.01.028

Cite this

@article{adb293b1585a443c91dbdd4cd8f90a6c,

title = "Using the Mal'cev correspondence for collection in polycyclic groups",

abstract = "We describe several approaches for realizing the Mal'cev correspondence between Q-powered nilpotent groups and nilpotent Lie algebras over Q. We apply it to fast collection in polycyclic groups. Our methods are fully implemented and publicly available. We report on the implementation and give runtimes for some example groups. (c) 2007 Elsevier Inc. All rights reserved.",

keywords = "polycyclically presented groups, Mal'cev correspondence, collection, collection from the, REPRESENTATIONS",

author = "B. Assmann and Linton, {Stephen Alexander}",

note = "final version available electronically since Feb 2007",

year = "2007",

month = oct,

day = "15",

doi = "10.1016/j.jalgebra.2007.01.028",

language = "English",

volume = "316",

pages = "828--848",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press/Elsevier ",

number = "2",

}

TY - JOUR

T1 - Using the Mal'cev correspondence for collection in polycyclic groups

AU - Assmann, B.

AU - Linton, Stephen Alexander

N1 - final version available electronically since Feb 2007

PY - 2007/10/15

Y1 - 2007/10/15

N2 - We describe several approaches for realizing the Mal'cev correspondence between Q-powered nilpotent groups and nilpotent Lie algebras over Q. We apply it to fast collection in polycyclic groups. Our methods are fully implemented and publicly available. We report on the implementation and give runtimes for some example groups. (c) 2007 Elsevier Inc. All rights reserved.

AB - We describe several approaches for realizing the Mal'cev correspondence between Q-powered nilpotent groups and nilpotent Lie algebras over Q. We apply it to fast collection in polycyclic groups. Our methods are fully implemented and publicly available. We report on the implementation and give runtimes for some example groups. (c) 2007 Elsevier Inc. All rights reserved.

KW - polycyclically presented groups

KW - Mal'cev correspondence

KW - collection

KW - collection from the

KW - REPRESENTATIONS

UR - http://www.scopus.com/inward/record.url?scp=34548677970&partnerID=8YFLogxK

UR - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WH2-4N0HJHM-2&_user=1026342&_coverDate=02%2F06%2F2007&_rdoc=113&_fmt=summary&_orig=browse&_srch=doc-info(%23toc%236838%239999%23999999999%2399999%23FLA%23display%23Articles)&_cdi=6838&_sort=d&_docanchor=&view=c&_ct=152&_acct=C000050565&_version=1&_urlVersion=0&_userid=1026342&md5=cf22763bb94013ae868ee80cd5a9974a

U2 - 10.1016/j.jalgebra.2007.01.028

DO - 10.1016/j.jalgebra.2007.01.028

M3 - Article

SN - 0021-8693

VL - 316

SP - 828

EP - 848

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Using the Mal'cev correspondence for collection in polycyclic groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this

Using the Mal'cev correspondence for collection in polycyclic groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this