Voir la notice de l'article provenant de la source Math-Net.Ru
@article{PFMT_2023_4_a10, author = {S. F. Kamornikov and V. N. Tyutyanov}, title = {The {Kegel--Wielandt} $\sigma$-problem for the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$}, journal = {Problemy fiziki, matematiki i tehniki}, pages = {64--68}, publisher = {mathdoc}, number = {4}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/PFMT_2023_4_a10/} }
TY - JOUR AU - S. F. Kamornikov AU - V. N. Tyutyanov TI - The Kegel--Wielandt $\sigma$-problem for the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$ JO - Problemy fiziki, matematiki i tehniki PY - 2023 SP - 64 EP - 68 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PFMT_2023_4_a10/ LA - ru ID - PFMT_2023_4_a10 ER -
%0 Journal Article %A S. F. Kamornikov %A V. N. Tyutyanov %T The Kegel--Wielandt $\sigma$-problem for the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$ %J Problemy fiziki, matematiki i tehniki %D 2023 %P 64-68 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/PFMT_2023_4_a10/ %G ru %F PFMT_2023_4_a10
S. F. Kamornikov; V. N. Tyutyanov. The Kegel--Wielandt $\sigma$-problem for the partition $\sigma= \{\{2\},\{3\},\{2,3\}'\}$. Problemy fiziki, matematiki i tehniki, no. 4 (2023), pp. 64-68. http://geodesic.mathdoc.fr/item/PFMT_2023_4_a10/
[1] O.H. Kegel, “Sylow-Gruppen und Subnormalteiler endlicher Gruppen”, Math. Z., 78 (1962), 205–221 | DOI | MR | Zbl
[2] H. Wielandt, “Zusammengesetzte Gruppen: Holders Programm heute”, Proc. Pure Math., 37 (1980), 161–173 | DOI | MR | Zbl
[3] P.B. Kleidman, “A proof of the Kegel–Wielandt conjecture on subnormal subgroups”, Ann. Math., 133 (1991), 369–428 | DOI | MR | Zbl
[4] The Kourovka Notebook: Unsolved problems in group theory, Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2022, 269 pp.
[5] A.N. Skiba, “On $\sigma$-subnormal and $\sigma$-permutable subgroups of finite groups”, J. Algebra, 436 (2015), 1–16 | DOI | MR | Zbl
[6] A. Ballester-Bolinches, S.F. Kamornikov, V.N. Tyutyanov, “On the Kegel-Wielandt $\sigma$-problem for binary partitions”, Annali di Matematica Pura ed Applicata, 201 (2022), 443–451 | DOI | MR
[7] R. Guralnick, P.B. Kleidman, R. Lyons, “Sylow $p$-subgroups and subnormal subgroups of finite groups”, Proc. London Math. Soc., 66:1 (1993), 129–151 | DOI | MR | Zbl
[8] C.Y. Li, X. Li, “On permutation groups of degree a product of two prime-powers”, Communications in Algebra, 42 (2014), 4722–4743 | DOI | MR | Zbl
[9] K. Doerk, T. Hawkes, Finite soluble groups, Walter de Gruyter, Berlin–New York, 1992, 891 pp. | MR
[10] F. Gross, “Hall subgroups of order not divisible by 3”, Rocky mountain journal of mathematics, 23:2 (1993), 569–591 | DOI | MR | Zbl
[11] K. Zsigmondy, “Zur Theorie der Potenzreste”, Monath. Math. Phis., 3 (1892), 265–284 | DOI | MR
[12] P. Kleidman, M. Liebeck, The subgroup structure of the finite classical groups, Cambridge University Press, Cambridge, 1990, 303 pp. | MR | Zbl
[13] S.F. Kamornikov, V.N. Tyutyanov, “On $\sigma$-subnormal subgroups of finite groups”, Siberian Mathematical Journal, 61:2 (2020), 266–270 | DOI | MR | Zbl
[14] D. Gorenstein, Konechnye prostye gruppy. Vvedenie v ikh klassifikatsiyu, Mir, M., 1985, 352 pp. | MR
[15] E.P. Vdovin, D.O. Revin, “Teoremy silovskogo tipa”, UMN, 66:5 (2011), 3–46 | DOI
[16] S.F. Kamornikov, V.N. Tyutyanov, “On some aspects of the Kegel-Wielandt $\sigma$-problem”, Russian Mathematics, 66:2 (2022), 15–24 | DOI | MR
[17] H.I. Blau, “On trivial intersection of cyclic Sylow subgroups”, Proc. Amer. Math. Soc., 94 (1985), 572–576 | DOI | MR | Zbl