Geodesic
REGULAR-NILPOTENT GROUPS OF AUTOMORPHISMS
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 1-5

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DOI

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].
DOI : 10.1017/S0017089502008923
Mots-clés : 20H10, 20F28 
ZOMORRODIAN, REZA. REGULAR-NILPOTENT GROUPS OF AUTOMORPHISMS. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 1-5. doi: 10.1017/S0017089502008923
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