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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
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CiteScore 2018: 0.53

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Source Normalized Impact per Paper (SNIP) 2018: 1.047

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Online
ISSN
1435-4446
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Volume 12, Issue 3

Issues

The multiplication groups of 2-dimensional topological loops

Ágota Figula
  • Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary. E-mail:
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Published Online: 2008-11-18 | DOI: https://doi.org/10.1515/JGT.2008.087

Abstract

If the multiplication group Mult(L) of a connected simply connected 2-dimensional topological loop L is a Lie group, then Mult(L) is an elementary filiform Lie group ℱ of dimension n + 2 for some n ⩾ 2, and any such group is the multiplication group of a connected simply connected 2-dimensional topological loop L. Moreover, if the group topologically generated by the left translations of L has dimension 3, then L is uniquely determined by a real polynomial of degree n.

About the article

Received: 2008-04-08

Revised: 2008-07-28

Published Online: 2008-11-18

Published in Print: 2009-05-01


Citation Information: Journal of Group Theory, Volume 12, Issue 3, Pages 419–429, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2008.087.

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[2]
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Journal of Mathematical Sciences, 2014, Volume 197, Number 6, Page 735
[3]
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Communications in Algebra, 2014, Volume 42, Number 1, Page 444
[4]
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