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Recognition by spectrum of the groups $$^2 D_{2^m + 1} (3)$$

Authors:	A. S. Kondrat’ev

Affiliation:	(1) Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, 620219, Russia

Abstract:	Abstract It is proved that a finite group with the same set of element orders as the simple group $^2 D_{2^m + 1} (3)$ is isomorphic to $^2 D_{2^m + 1} (3)$ . This work was supported by Russian Foundation for Basic Research (Grant No. 07-01-00148), RFBR-BRFBR (Grant No. 08-01-90006) and RFBR-GFEN (Grant No. 08-01-92200)

Keywords:	finite group finite simple group spectrum prime graph recognizability by spectrum
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