On regular subgroups of the affine group

Authors

  • F. Catino Università del Salento
  • I. Colazzo Università del Salento
  • P. Stefanelli Università del Salento

Keywords:

Affine group, regular subgroup, brace

Abstract

Catino and Rizzo [‘Regular subgroups of the affine group and radical circle algebras’, Bull. Aust. Math. Soc.\(79\) (2009), 103–107] established a link between regular subgroups of the affine group and the radical brace over a field on the underlying vector space. We propose new constructions of radical braces that allow us to obtain systematic constructions of regular subgroups of the affine group. In particular, this approach allows to put in a more general context the regular subgroups constructed in Tamburini Bellani [‘Some remarks on regular subgroups of the affine group’ Int. J. Group Theory, \(1\) (2012), 17–23]. DOI: 10.1017/S000497271400077X

Published

2014-11-13

Issue

Vol. 91 No. 1 (2015)

Section

Articles
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