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1.
O. Yu. Dashkova 《Algebra and Logic》2007,46(5):297-302
We are concerned with infinite-dimensional locally soluble linear groups of infinite central dimension that are not soluble
A3-groups and all of whose proper subgroups, which are not soluble A3-groups, have finite central dimension. The structure of groups in this class is described. The case of infinite-dimensional
locally nilpotent linear groups satisfying the specified conditions is treated separately. A similar problem is solved for
infinite-dimensional locally soluble linear groups of infinite fundamental dimension that are not soluble A3-groups and all of whose proper subgroups, which are not soluble A3-groups, have finite fundamental dimension.
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Translated from Algebra i Logika, Vol. 46, No. 5, pp. 548–559, September–October, 2007. 相似文献
2.
O. Yu. Dashkova 《Siberian Mathematical Journal》2008,49(6):1023-1033
Under study are the solvable nonabelian linear groups of infinite central dimension and sectional p-rank, p ≥ 0, in which all proper nonabelian subgroups of infinite sectional p-rank have finite central dimension. We describe the structure of the groups of this class. 相似文献
3.
O. Yu. Dashkova 《Ukrainian Mathematical Journal》1995,47(4):524-527
We introduce the notion of non-Abelian sectional rank of a group and study locally nilpotent non-Abelian groups of finite non-Abelian sectional rank. It is proved that the (special) rank of these groups is finite.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 452–455, April, 1995. 相似文献
4.
O. Yu. Dashkova 《Journal of Mathematical Sciences》2010,164(2):228-233
The author studies a D
G-module A such that D is a Dedekind domain, A/C
A
(G) is not an Artinian D-module, C
A
(G) = 1, G is a soluble group, and the system of all subgroups H ≤ G for which the quotient modules A/C
A
(H) are not Artinian D-modules satisfies the minimum condition. The structure of G is described. 相似文献
5.
O. Yu. Dashkova 《Siberian Advances in Mathematics》2013,23(2):77-83
Let A be an R G-module over a commutative ring R, where G is a group of infinite section p-rank (0-rank), C G (A) = 1, A is not a Noetherian R-module, and the quotient A/C A (H) is a Noetherian R-module for every proper subgroup H of infinite section p-rank (0-rank). We describe the structure of solvable groups G of this type. 相似文献
6.
O. Yu. Dashkova 《Ukrainian Mathematical Journal》2009,61(1):50-56
We study a Z
G-module A in the case where the group G is locally solvable and satisfies the condition min–naz and its cocentralizer in A is not an Artinian Z-module. We prove that the group G is solvable under the conditions indicated above. The structure of the group G is studied in detail in the case where this group is not a Chernikov group.
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 44–51, January, 2009. 相似文献
7.
O. Yu. Dashkova 《Ukrainian Mathematical Journal》1995,47(11):1801-1805
We introduce the notion of subnormal rank of a group and study hypercentral groups of finite subnormal rank. We construct an example of a hypercentral group that has a finite subnormal rank and infinite (special) rank.Translated from Ukrainskii Matematicheskii Zhurnal, Vol.47, No. 11, pp. 1577–1580, November, 1995. 相似文献
8.
A. M. Egorov S. A. Matyukhova E. A. Dashkova 《Russian Journal of General Chemistry》2012,82(10):1686-1699
Oxidative dissolution of zinc in the system of benzyl chloride-dimethylacetamide was investigated. The reaction stereochemistry as well as intermediates and reaction products formed were studied. The kinetic and thermodynamic parameters of the process were measured. The process was shown to follow the Langmuir-Hinshelwood mechanism with the formation of benzyl radicals and mono-solvated organozinc compound on the zinc surface. The components of mixture are adsorbed at various sites of the zinc surface, while recombination and the isomerization of the benzyl radicals occurs in solution. 相似文献
9.
O. Yu. Dashkova 《Ukrainian Mathematical Journal》1990,42(4):421-425
It is proved that a nonperiodic, locally almost solvable group of finite non-Abelian 0-rank has finite (special) rank.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 4, pp. 477–482, April, 1990. 相似文献
10.