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REGULAR SUBGROUPS OF THE AFFINE GROUP AND RADICAL CIRCLE ALGEBRAS

Part of: Radicals and radical properties of rings Permutation groups

Published online by Cambridge University Press:  09 February 2009

FRANCESCO CATINO  and
ROBERTO RIZZO
FRANCESCO CATINO*
Affiliation:
Dipartimento di Matematica ‘E. De Giorgi’, Università del Salento, Via Provinciale Lecce-Arnesano, P.O. Box 193, 73100 Lecce, Italy (email: francesco.catino@unile.it)
ROBERTO RIZZO
Affiliation:
Dipartimento di Matematica ‘E. De Giorgi’, Università del Salento, Via Provinciale Lecce-Arnesano, P.O. Box 193, 73100 Lecce, Italy (email: rizerr@libero.it)
*
✉For correspondence; e-mail: francesco.catino@unile.it
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Abstract

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We establish a link between regular subgroups of the affine group and radical circle algebras on the underlying vector space.

Keywords

affine groupregular subgroupsradical circle algebras

MSC classification

Secondary: 20B10: Characterization theorems 16N20: Jacobson radical, quasimultiplication
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 103 - 107
Copyright
Copyright © Australian Mathematical Society 2009

References

[1] Caranti, A., Dalla Volta, F. and Sala, M., ‘Abelian regular subgroups of the affine group and radical rings’, Publ. Math. Debrecen 69 (2007), 297–308.CrossRefGoogle Scholar
[2] Dixon, J. D. and Mortimer, B., Permutation Groups (Springer, New York, 1996).CrossRefGoogle Scholar
[3] Hegedüs, P., ‘Regular subgroups of the affine group’, J. Algebra 225 (2000), 740–742.CrossRefGoogle Scholar
[4] Liebeck, M. W., Praeger, C. E. and Saxl, J., ‘Transitive subgroups of primitive permutation groups’, J. Algebra 234 (2000), 291–361.CrossRefGoogle Scholar
[5] Taylor, D. E., The Geometry of the Classical Groups (Heldermann, Berlin, 1992).Google Scholar