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Akademický článek

On some classes of sublattices of the subgroup lattice

Autor: Alexander N. Skiba

Publikováno v: Журнал Белорусского государственного университета: Математика, информатика, Iss 3, Pp 35-47 (2019)

In this paper G always denotes a group. If K and H are subgroups of G, where K is a normal subgroup of H, then the factor group of H by K is called a section of G. Such a section is called normal, if K and H are normal subgroups of G, and trivial, if

Externí odkaz: https://doaj.org/article/d5ed866a0826458ca8266297ed332523

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FINITE GROUPS WITH ABNORMAL MINIMAL NONNILPOTENT SUBGROUPS

Autor: ZHIGANG WANG, JINZHUAN CAI, INNA N. SAFONOVA, ALEXANDER N. SKIBA

Publikováno v: Bulletin of the Australian Mathematical Society. 107:261-270

We describe finite soluble nonnilpotent groups in which every minimal nonnilpotent subgroup is abnormal. We also show that if G is a nonsoluble finite group in which every minimal nonnilpotent subgroup is abnormal, then G is quasisimple and $Z(G)$ is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::82085fbf8d9da5d21aa5a5cdc03e6718
https://doi.org/10.1017/s0004972722000843

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