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Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum

Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum It is proved that finite simple groups L4(2m), m ⩾ 2, and U4(2m), m ⩾ 2, are, up to isomorphism, recognized by spectra, i.e., sets of their element orders, in the class of finite groups. As a consequence the question on recognizability by spectrum is settled for all finite simple groups without elements of order 8. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra and Logic Springer Journals

Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum

Algebra and Logic , Volume 47 (1) – Mar 6, 2008

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References (42)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media, Inc.
Subject
Mathematics; Algebra; Mathematical Logic and Foundations
ISSN
0002-5232
eISSN
1573-8302
DOI
10.1007/s10469-008-0005-y
Publisher site
See Article on Publisher Site

Abstract

It is proved that finite simple groups L4(2m), m ⩾ 2, and U4(2m), m ⩾ 2, are, up to isomorphism, recognized by spectra, i.e., sets of their element orders, in the class of finite groups. As a consequence the question on recognizability by spectrum is settled for all finite simple groups without elements of order 8.

Journal

Algebra and LogicSpringer Journals

Published: Mar 6, 2008

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