Zobrazeno 1 - 10
of 185
pro vyhledávání: '"Leonid A Kurdachenko"'
Publikováno v:
Mathematics, Vol 11, Iss 12, p 2635 (2023)
The structure of groups which are rich in subnormal subgroups has been investigated by several authors. Here, we prove that if a periodic soluble group G has subnormal deviation, which means that the set of its non-subnormal subgroups satisfies a ver
Externí odkaz:
https://doaj.org/article/f35c31d6911040fa98f27558c6b764ee
Publikováno v:
Advances in Group Theory and Applications, Vol 10, Pp 9-41 (2020)
We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax. Here a generalized radical group is a group with an
Externí odkaz:
https://doaj.org/article/642342f408b64046aef90a1dac14b916
Publikováno v:
Advances in Group Theory and Applications, Vol 10, Pp 83-125 (2020)
A subgroup H of a group G is called contranormal in G if H^G = G. A subgroup H of a group G is called core-free in G if Core_G(H) = . Obviously, these two types of subgroups are the complete opposite of normal subgroups. In this paper, we will obtain
Externí odkaz:
https://doaj.org/article/1c7a57b84d934e5484605caa382eabea
Publikováno v:
Advances in Group Theory and Applications, Vol 9, Pp 71-121 (2020)
This survey is an attempt of describing of main contours of a recently developing general theory of Leibniz Algebras. This theory based on the employing of methods and approaches which are proved to be exceedingly effective in infinite group theory.
Externí odkaz:
https://doaj.org/article/9bce4a970f0846d0a90d49b3a7002450
Publikováno v:
Journal of Algebra. 613:32-45
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4afd1de1e3fda89306c16a05b60b0f54
https://doi.org/10.1016/j.jalgebra.2022.09.007
https://doi.org/10.1016/j.jalgebra.2022.09.007
Publikováno v:
Mathematics; Volume 11; Issue 12; Pages: 2635
The structure of groups which are rich in subnormal subgroups has been investigated by several authors. Here, we prove that if a periodic soluble group G has subnormal deviation, which means that the set of its non-subnormal subgroups satisfies a ver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=multidiscipl::d9bfa8a2282dacceb87361ca259e3ccd
Publikováno v:
International Journal of Algebra and Computation. 32:327-345
We introduce the concept of a conormal subgroup: a subgroup is conormal if it is contranormal in its normal closure. This unifies the concepts of normal and contranormal subgroups. We obtain some important properties of conormal subgroups, describe t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c0b61d58f1d7a062525785ac9d07670
https://doi.org/10.1142/s0218196722500163
https://doi.org/10.1142/s0218196722500163
The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing
Publikováno v:
Reports of the National Academy of Sciences of Ukraine. :12-17
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description of such Leibniz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a13f0b6e0f63476be879e374c0321190
https://doi.org/10.15407/dopovidi2021.05.012
https://doi.org/10.15407/dopovidi2021.05.012