GENERALIZED M*-GROUPS-Reference-Cited by-同舟云学术

GENERALIZED M*-GROUPS

Published:2006-12 Issue:06 Volume:16 Page:1211-1219
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

SAHIN RECEP¹,IKIKARDES SEBAHATTIN¹,KORUOGLU OZDEN²

Affiliation:

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

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

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 · qr for q ≥ 3 prime number and for some positive integer r.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196706003475

Reference21 articles.

1. Lecture Notes in Mathematics;Bujalance E.,1990

2. Groups acting on bordered Klein surfaces with maximal symmetry

3. Subgroups of M-Groups

4. AUTOMORPHISM CRITERIA FOR M*-GROUPS

5. Hurwitz groups: A brief survey

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