01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
21.04.1956
E-mail:
Keywords:
finite groups,
representations of finite groups,
characters of finite groups.
Subject:
The structure of $\pi$–solvable complex linear groups of relatively small degree, whose Hall $\pi$–subgroup is T. I., was established. The conditions that ensure that all irreducible characters of the normalizer of a Hall subgroup of a solvable group $G$ can be extended to $G$, were obtained. The normal structure of a $\pi$–separable irreducible complex linear group of $\pi'$–degree $n$ was investigated, under some hypothesys on Hall $\pi(n)$–subgroup (jointly with A. V. Romanovski).Hence follows, in some particular cases, the Isaacs conjecture on $p$–solvable irreducible linear groups. The $p$–solvable complex linear groups containing a $p$–element with non-full spectrum were investigated.
Biography
Graduated from Faculty of Mathematics of Gomel State University in 1982 (department of algebra and analitical geometry). Ph.D. thesis was defended in 1987. I have more than 30 publications.
Main publications:
Romanovskii A. V., Yadchenko A. A. O silovskikh podgruppakh lineinykh grupp // Mat. sbornik, 1988, 137(179), 12, 568–572.
Yadchenko A. A. Razreshimye neprivodimye lineinye gruppy proizvol'noi stepeni s khollovskoi TI–podgruppoi // Mat. zametki, 1990, 48, 2, 137–144.
Romanovskii A. V., Yadchenko A. A. Monomialnye kharaktery i normalnye podgruppy konechnykh grupp // Ukr. matem. zhurnal, 1991, 43, 78, 991–996.
Yadchenko A. A. O spektrakh $p$–lementov konechnykh kompleksnykh $p$–razreshimykh lineinykh grupp // Mat. zametki, 1991, 60, 3, 143–150.
Yadchenko A. A., Romanovskii A. B. K probleme Aizeksa o konechnykh $p$–razreshimykh lineinykh gruppakh // Mat. zametki, 2001, 69, 1, 144–152.
A. A. Yadchenko, “On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part III”, Tr. Inst. Mat., 31:2 (2023), 91–102
2.
A. A. Yadchenko, “On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part II”, Tr. Inst. Mat., 31:1 (2023), 88–100
A. A. Yadchenko, “On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part I”, Tr. Inst. Mat., 30:1-2 (2022), 84–98
A. A. Yadchenko, “On the normal subgroups and the factorization of some$\pi$-solvable irreducible linear groups”, Tr. Inst. Mat., 29:1-2 (2021), 149–164
A. A. Yadchenko, “On Automorphisms of Irreducible Linear Groups with an Abelian Sylow $2$-Subgroup”, Mat. Zametki, 99:1 (2016), 121–139; Math. Notes, 99:1 (2016), 138–154
2013
7.
A. A. Yadchenko, “On Isaacs' problem”, Mat. Sb., 204:12 (2013), 147–156; Sb. Math., 204:12 (2013), 1839–1848
A. A. Yadchenko, A. V. Romanovskii, “On the Isaacs Problem Concerning Finite $p$-Solvable Linear Groups”, Mat. Zametki, 69:1 (2001), 144–152; Math. Notes, 69:1 (2001), 126–133
A. A. Yadchenko, “Spectra of $p$-elements of finite $p$-solvable complex linear groups”, Mat. Zametki, 50:3 (1991), 143–151; Math. Notes, 50:3 (1991), 957–980
A. A. Yadchenko, “Solvable irreducible linear groups of arbitrary degree with a Hall $TI$-subgroup”, Mat. Zametki, 48:2 (1990), 137–144; Math. Notes, 48:2 (1990), 805–809
A. V. Romanovskii, A. A. Yadchenko, “On Sylow subgroups of linear groups”, Mat. Sb. (N.S.), 137(179):4(12) (1988), 568–573; Math. USSR-Sb., 65:2 (1990), 575–579
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