Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SEMR_2013_10_a2, author = {M. A. Grechkoseeva and W. J. Shi}, title = {On finite groups isospectral to finite simple unitary groups over fields of characteristic~2}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {31--37}, publisher = {mathdoc}, volume = {10}, year = {2013}, language = {en}, url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a2/} }
TY - JOUR AU - M. A. Grechkoseeva AU - W. J. Shi TI - On finite groups isospectral to finite simple unitary groups over fields of characteristic~2 JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2013 SP - 31 EP - 37 VL - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2013_10_a2/ LA - en ID - SEMR_2013_10_a2 ER -
%0 Journal Article %A M. A. Grechkoseeva %A W. J. Shi %T On finite groups isospectral to finite simple unitary groups over fields of characteristic~2 %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2013 %P 31-37 %V 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2013_10_a2/ %G en %F SEMR_2013_10_a2
M. A. Grechkoseeva; W. J. Shi. On finite groups isospectral to finite simple unitary groups over fields of characteristic~2. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 31-37. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a2/
[1] W. J. Shi, “On the order and the element orders of finite groups: results and problems”, Ischia Group Theory 2010, Proceedings of the Conference, eds. Bianchi Mariagrazia et al., World Scientific Publishing, 2011, 313–333
[2] M. A. Grechkoseeva, W. J. Shi, A. V. Vasil'ev, “Recognition by spectrum for finite simple groups of Lie type”, Front. Math. China, 3:2 (2008), 275–285 | DOI | MR | Zbl
[3] V. D. Mazurov, “Groups with a prescribed spectrum”, Izv. Ural. Gos. Univ. Mat. Mekh., 36 (2005), 119–138 (in Russian) | MR | Zbl
[4] W. J. Shi, “On the simple $K_3$-groups”, J. Southwest China Normal Univ. (N.S.), 13:3 (1988), 1–4 (in Chinese) | MR | Zbl
[5] V. D. Mazurov, “Recognition of finite groups by a set of orders of their elements”, Algebra and Logic, 37:6 (1998), 371–379 | DOI | MR | Zbl
[6] V. D. Mazurov, M. C. Xu, H. P. Cao, “Recognition of the finite simple groups $L_3(2^m)$ and $U_3(2^m)$ by their element orders”, Algebra and Logic, 39:5 (2000), 324–334 | DOI | MR
[7] W. J. Shi, “A characterization of $U_3(2^n)$ by their element orders”, J. Southwest China Normal Univ.( N.S.), 25:4 (2000), 353–360 | MR
[8] V. D. Mazurov, G. Y. Chen, “Recognizability of the finite simple groups $L_4(2^m)$ and $U_4(2^m)$ by the spectrum”, Algebra and Logic, 47:1 (2008), 49–55 | DOI | MR | Zbl
[9] W. J. Shi, H. L. Li, “A characterization of $M_{12}$ and $PSU(6,2)$”, Acta Math. Sinica, 32:6 (1989), 758–764 (in Chinese) | MR | Zbl
[10] K. Zsigmondy, “Zur Theorie der Potenzreste”, Monatsh. Math. Phys., 3 (1892), 265–284 | DOI | MR
[11] A. A. Buturlakin, “Spectra of finite linear and unitary groups”, Algebra and Logic, 47:2 (2008), 91–99 | DOI | MR | Zbl
[12] A. V. Zavarnitsine, “Recognition of the simple groups $U_3(q)$ by element orders”, Algebra and Logic, 45:2 (2006), 106–116 | DOI | MR | Zbl
[13] A. V. Zavarnitsine, “Recognition of the simple groups $L_3(q)$ by element orders”, J. Group Theory, 7:1 (2004), 81–97 | MR | Zbl
[14] M. A. Grechkoseeva, “Recognition by spectrum for finite linear groups over fields of characteristic $2$”, Algebra and Logic, 47:4 (2008), 229–241 | DOI | MR | Zbl
[15] M. A. Grechkoseeva, “Quasirecognizability of simple unitary groups over fields of even order”, Sib. Electron. Math. Rep., 7 (2010), 435–444 | MR
[16] M. A. Grechkoseeva, “On element orders in covers of finite simple classical groups”, J. Algebra, 339 (2011), 304–319 | DOI | MR | Zbl
[17] D. Gorenstein, R. Lyons, R. Solomon, The classification of the finite simple groups, v. 3, Mathematical Surveys and Monographs, 40.3, American Mathematical Society, Providence, RI, 1998 | MR | Zbl
[18] A. V. Vasil'ev, E. P. Vdovin, “An adjacency criterion for the prime graph of a finite simple group”, Algebra and Logic, 44:6 (2005), 381–406 | DOI | MR
[19] A. V. Vasil'ev, E. P. Vdovin, “Cocliques of maximal size in the prime graph of a finite simple group”, Algebra and Logic, 50:4 (2011), 291—322 | DOI | MR
[20] Huaiyu He, Wujie Shi, “A note on the ajacency criterion for the prime graph and characterization of $C_p(3)$”, Algebra Colloq., 19:3 (2012), 553—562 | Zbl