О распознаваемости по спектру конечных простых ортогональных групп, II

A. S. Kondrat'ev

Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 4, pp. 32-43

Bibliographie

[1] Aleeva M. R., “O konechnykh prostykh gruppakh s mnozhestvom poryadkov elementov, kak u gruppy Frobeniusa ili dvoinoi gruppy Frobeniusa”, Mat. zametki, 73:3 (2003), 323–339 | DOI | MR | Zbl

[2] Alekseeva O. A., “Kvaziraspoznavaemost po mnozhestvu poryadkov elementov grupp ${^3}D_4(q)$, $q$ chetno”, Algebra i logika, 45:1 (2006), 3–19 | MR | Zbl

[3] Alekseeva O. A., Kondratev A. S., “O raspoznavaemosti gruppy $E_8(q)$ po mnozhestvu poryadkov elementov”, Ukr. mat. zhurn., 54:7 (2002), 1003–1008 | MR

[4] Alekseeva O. A., Kondratev A. S., “Kvaziraspoznavaemost odnogo klassa konechnykh prostykh grupp po mnozhestvu poryadkov elementov”, Sib. mat. zhurn., 44:2 (2003), 241–255 | MR | Zbl

[5] Alekseeva O. A., Kondratev A. S., “Kvaziraspoznavaemost po mnozhestvu poryadkov elementov grupp ${^3}D_4(q)$ i $F_4(q)$ dlya nechetnogo $q$”, Algebra i logika, 44:5 (2005), 517–539 | MR | Zbl

[6] Alekseeva O. A., Kondratev A. S., “Raspoznavaemost po spektru grupp ${^2}D_p(3)$ dlya nechetnogo prostogo chisla $p$”, Tr. In-ta matematiki i mekhaniki UrO RAN, 14:4 (2008), 3–11 | MR

[7] Alekseeva O. A., Kondratev A. S., “O raspoznavaemosti po spektru nekotorykh prostykh ortogonalnykh grupp”, Tr. In-ta matematiki i mekhaniki UrO RAN, 15:1 (2009), 30–43 | Zbl

[8] Buturlakin A. A., Grechkoseeva M. A., “Tsiklicheskoe stroenie maksimalnykh torov v konechnykh klassicheskikh gruppakh”, Algebra i logika, 46:2 (2007), 129–156 | MR | Zbl

[9] Vasilev A. V., “O svyazi mezhdu stroeniem konechnoi gruppy i svoistvami ee grafa prostykh chisel”, Sib. mat. zhurn., 46:3 (2005), 511–522 | MR | Zbl

[10] Vasilev A. V., Vdovin E. P., “Kriterii smezhnosti v grafe prostykh chisel konechnoi prostoi gruppy”, Algebra i logika, 44:6 (2005), 682–725 | MR | Zbl

[11] Vasilev A. V., Gorshkov I. B., Grechkoseeva M. A., Kondratev A. S., Staroletov A. M., “O raspoznavaemosti po spektru konechnykh prostykh grupp tipov $B_n$, $C_n$ i $^2D_n$ pri $n=2^k$”, Tr. In-ta matematiki i mekhaniki UrO RAN, 15:2 (2009), 58–73 | Zbl

[12] Vasilev A. V., Grechkoseeva M. A., “O raspoznavaemosti konechnykh prostykh ortogonalnykh grupp razmernosti $2^m$, $2^m+1$ i $2^m+2$”, Sib. mat. zhurn., 45:3 (2004), 510–526 | MR | Zbl

[13] Vasilev A. V., Grechkoseeva M. A., “Raspoznavanie po spektru konechnykh prostykh lineinykh grupp malykh razmernostei nad polyami kharakteristiki 2”, Algebra i logika, 47:5 (2008), 558–570 | MR | Zbl

[14] Grechkoseeva M. A., “Raspoznavaemost po spektru gruppy $\Omega^+_{10}(2)$”, Sib. mat. zhurn., 44:4 (2003), 734–741 | MR

[15] Grechkoseeva M. A., “Raspoznavanie po spektru konechnykh prostykh lineinykh grupp nad polyami kharakteristiki 2”, Algebra i logika, 47:4 (2008), 405–427 | MR | Zbl

[16] Zinoveva M. R., “Raspoznavanie po spektru prostykh grupp $C_p(3)$ dlya nechetnogo prostogo chisla $p$”, Algebra i ee prilozheniya, Tr. Mezhd. algebr. konf., posv. 80-letiyu so dnya rozhdeniya A. I. Kostrikina, KBU, Nalchik, 2009, 56–57

[17] Zinoveva M. R., Shen R., Shi V., “Raspoznavanie prostykh grupp $B_p(3)$ po mnozhestvu poryadkov elementov”, Tez. dokl. Mezhdunar. algebr. konf., posv. 100-letiyu so dnya rozhdeniya A. G. Kurosha, Izd-vo mat.-mekh. fak-ta MGU, M., 2008, 105–106

[18] Kondratev A. S., “O komponentakh grafa prostykh chisel konechnykh prostykh grupp”, Mat. sb., 180:6 (1989), 787–797 | MR | Zbl

[19] Kondratev A. S., “Kvaziraspoznavaemost po mnozhestvu poryadkov elementov grupp $E_6(q)$ i ${^2}E_6(q)$”, Sib. mat. zhurn., 48:6 (2007), 1250–1271 | MR | Zbl

[20] Kondratev A. S., Mazurov V. D., “Raspoznavanie znakoperemennykh grupp prostoi stepeni po poryadkam ikh elementov”, Sib. mat. zhurn., 41:2 (2000), 359–369 | MR | Zbl

[21] Mazurov V. D., “Kharakterizatsii konechnykh grupp mnozhestvami poryadkov ikh elementov”, Algebra i logika, 36:1 (1997), 37–53 | MR | Zbl

[22] Mazurov V. D., “Gruppy s zadannym spektrom”, Izv. Ural. gos. un-ta. Matematika i mekhanika, 36:7 (2005), 119–138 | MR | Zbl

[23] Seminar po algebraicheskim gruppam, Mir, M., 1973, 315 pp. | MR

[24] Steinberg R., Lektsii o gruppakh Shevalle, Mir, M., 1975, 262 pp. | MR | Zbl

[25] Aschbacher M., Finite group theory, Cambridge Univ. Press, Cambridge, 1986, 274 pp. | MR | Zbl

[26] Carter R. W., “Centralizers of semisimple elements in the finite classical groups”, Proc. London Math. Soc. Ser. 3, 42:1 (1981), 1–41 | DOI | MR | Zbl

[27] Conway J. H., Curtis R. T., Norton S. P., Parker R. A., Wilson R. A., Atlas of finite groups, Clarendon Press, Oxford, 1985, 252 pp. | MR | Zbl

[28] Gerono G. C., “Note sur la résolution en nombres entiers et positifs de l'équation $x^m=y^n+1$”, Nouv. Ann. Math., 9:2 (1870), 469–471

[29] Gorenstein D., Lyons R., The local structure of finite groups of characteristic 2 type, Mem. Amer. Math. Soc., 42, no. 276, Amer. Math. Soc., Providence (RI), 1983 | MR

[30] Guralnick R. M., Tiep P. H., “Finite simple unisingular groups of Lie type”, J. Group Theory, 6:3 (2003), 271–310 | DOI | MR | Zbl

[31] Kleidman P., Liebeck M., The subgroup structure of the finite classical groups, Cambridge Univ. Press, Cambridge, 1990, 303 pp. | MR | Zbl

[32] Kondrat'ev A. S., “Recognition by spectrum of the groups $^2D_{2^m+1}(3)$”, Science in China. Ser. A: Mathematics, 52:2 (2009), 293–300 | DOI | MR | Zbl

[33] Shi W. J., Tang C. Y., “A characterization of some orthogonal groups”, Progr. Nat. Sc., 7:2 (1997), 155–162 | MR | Zbl

[34] Stensholt E., “Certain embeddings among finite groups of Lie type”, J. Algebra, 53:1 (1978), 136–187 | DOI | MR | Zbl

[35] Williams J. S., “Prime graph components of finite groups”, J. Algebra, 69:2 (1981), 487–513 | DOI | MR | Zbl

[36] Zsigmondy K., “Zur theorie der potenzreste”, Monatsh. Math. Phys., 3:1 (1892), 265–284 | DOI | MR | Zbl