References
V. I. Zenkov, “A theorem of uniqueness and intersections of nilpotent subgroups in finite groups,”Mat. Sb.,184, No. 6, 151–159 (1993).
V. I. Zenkov, “Intersections of nilpotent subgroups in finite groups,”Fundam. Prikl. Mat.,2, No. 3, 1–93 (1996).
B. N. Newman, “Groups covered by permutable subsets,”J. London. Math. Soc.,29, 236–248 (1954).
S. P. Strunkov, “An analog of the Brauer-Fowler theorem,”Usp. Mat. Nauk,40, No. 6, 155–156 (1985).
G. Michler, “A finite simple group of Lie type hasp-blocks with different defects,p∈2,”J. Algebra,104, 220–230 (1986).
U. Dempwolf and S. K. Wong, “On cyclic subgroups of finite groups,”Proc. Edinburgh Math. Soc.,25, No. 1, 19–20 (1982).
L. Babai, A. J. Goodman, and L. Pyber, “Groups without faithful transitive permutation representations of small degree,”J. Algebra,195, 1–29 (1997).
M. V. Khoroshevskii, “On automorphisms of finite groups,”Mat. Sb.,93, No. 4, 63–76 (1974).
V. I. Zenkov, “On orders of intersections of Sylowp-subgroups in finite groups,”Algebra Logika,36, No. 2, 156–165 (1997).
S. P. Strunkov, “Blocks of defect 0 in a finite group and trivial intersections of its Sylow subgroups,”Dokl. Rossiisk. Akad. Nauk,339, No. 4, 458–460 (1994).
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 58, Algebra-12, 1998.
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Kazarin, L.S., Strunkov, S.P. On intersections of subgroups in groups. J Math Sci 100, 1888–1892 (2000). https://doi.org/10.1007/BF02677501
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DOI: https://doi.org/10.1007/BF02677501