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GENERALIZED M*-GROUPS

RECEP SAHIN

Balıkesir Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 10145, Balıkesir, Türkiye

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SEBAHATTIN IKIKARDES

Balıkesir Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 10145, Balıkesir, Türkiye

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OZDEN KORUOGLU

Balıkesir Üniversitesi, Necatibey Egitim Fakültesi, Ilkogretim Bölümü, Matematik Egitimi, 10100, Balıkesir, Türkiye

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https://doi.org/10.1142/S0218196706003475Cited by:1 (Source: Crossref)

Abstract

A compact bordered Klein surface of algebraic genus p ≥ 2 has at most 12(p-1) automorphisms. Automorphism groups which attain this bound are called M*-groups. In this paper, firstly, we define generalized M*-groups. Then, we show that there is a relationship between the extended Hecke groups and generalized M*-groups. Finally, we prove that a generalized M*-groups G is supersoluble if and only if |G| = 4 · q^r for q ≥ 3 prime number and for some positive integer r.

Keywords:

AMSC: 30F50, 20H10

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