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REGULAR-NILPOTENT GROUPS OF AUTOMORPHISMS

Published online by Cambridge University Press:  01 May 2003

REZA ZOMORRODIAN
REZA ZOMORRODIAN
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, U.S.A. e-mail: rezo@msn.com Present address: 331 Devonshire Street, A-1, Pittsburgh, Pennsylvannia, 15213-1747, U.S.A.
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Abstract

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Using the definition of regular p-group given by M. Hall [1], a new class of finite groups called regular-nilpotent has been defined. The action of these groups as automorphisms of compact Riemann surfaces has been investigated. It is proved that a necessary and sufficient condition for a Fuchsian group to cover a regular-nilpotent group is that its orbit genus be zero and its periods satisfy the least common multiple condition, first defined by Harvey [2] and Maclachlan [4].

Keywords

20H1020F28
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 1 , January 2003 , pp. 1 - 5
Copyright
2003 Glasgow Mathematical Journal Trust