Recognizing M10 by spectrum in the class of all groups-Reference-Cited by-同舟云学术

Recognizing M10 by spectrum in the class of all groups

Published:2014-03 Issue:02 Volume:24 Page:113-119
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Jabara Enrico¹,Lytkina Daria²³,Mamontov Andrey⁴³

Affiliation:

1. Dipartimento di Filosofia e Beni Culturali, Università di Ca' Foscari San Giobbe, Cannaregio 873 – 30121 Venezia, Italy

2. Novosibirsk State University of Telecommunications and Information Sciencies, Kirova 86, Novosibirsk, 630102, Russia

3. Novosibirsk State University, Pirogova Str. 2, Novosibirsk, 630090, Russia

4. Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug pr. 4, Novosibirsk, 630090, Russia

Abstract

We prove that a group with spectrum {1, 2, 3, 4, 5, 8} is locally finite and is isomorphic to M10, where M10 = A6 ⋅ 2 is the 3-transitive Mathieu group of degree 10, i.e. the corresponding maximal subgroup of the sporadic simple group M11.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196714500088

Reference24 articles.

1. Recognizability of Alternating Groups by Spectrum

2. On groups’ with small orders of elements

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