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REGULAR SUBGROUPS OF THE AFFINE GROUP AND RADICAL CIRCLE ALGEBRAS

Published online by Cambridge University Press:  09 February 2009

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)
Corresponding
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Abstract

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

Type
Research Article
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), 297308.Google 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), 740742.CrossRefGoogle Scholar
[4] Liebeck, M. W., Praeger, C. E. and Saxl, J., ‘Transitive subgroups of primitive permutation groups’, J. Algebra 234 (2000), 291361.CrossRefGoogle Scholar
[5] Taylor, D. E., The Geometry of the Classical Groups (Heldermann, Berlin, 1992).Google Scholar
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