Results 1 to 10 of about 305,066 (283)
On the permutability of Sylow subgroups with derived subgroups of B-subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2019 A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
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DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS [PDF]
Glasgow Mathematical Journal, 2011 AbstractThe main result of this paper is the following theorem. Letqbe a prime andAbe an elementary abelian group of orderq3. Suppose thatAacts as a coprime group of automorphisms on a profinite groupGin such a manner thatCG(a)′ is periodic for eacha∈A#. ThenG′ is locally finite.
ACCIARRI C +2 more
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Invariant subgroups of groups of higher derivations [PDF]
Proceedings of the American Mathematical Society, 1978 Let L be a field of characteristic p > 3 p > 3 . A subgroup G of the group D of all rank p e {p^e} higher derivations on L is Galois if G is the group of all d in D having a given subfield in its field of constants.
Deveney, James K., Mordeson, John N.
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A note on groups with a finite number of pairwise permutable seminormal subgroups [PDF]
International Journal of Group Theory, 2022 A subgroup $A$ of a group $G$ is called {\it seminormal} in $G$, if there exists a subgroup $B$ such that $G=AB$ and $AX$~is a subgroup of $G$ for every subgroup $X$ of $B$. The group $G = G_1 G_2 \cdots G_n$ with pairwise permutable subgroups $G_1
Alexander Trofimuk
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On the Supersoluble Residual of a Product of Supersoluble Subgroups [PDF]
Advances in Group Theory and Applications, 2020 Let P be the set of all primes. A subgroup H of a group G is called P-subnormal in G, if either H = G, or there exists a chain of subgroups H = H_0 \leq H_1 \leq ... \leq H_n = G, with |H_i : H_{i-1}| \in P for all i.
Victor S. Monakhov +1 more
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On Products of Cyclic and Non-Abelian Finite p-Groups [PDF]
Advances in Group Theory and Applications, 2020 For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length
Brendan McCann
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On one A.I. Mal’cev’s Question from the ”Kourovskaya Notebook”
Моделирование и анализ информационных систем, 2015 It is shown that the derived subgroup of the free group is not first-oder definable.
V. G. Durnev
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Groups whose derived subgroup is not supplemented by any proper subgroup
Armenian Journal of Mathematics, 2022 In this paper, we introduce two new classes of groups that are described as weakly nilpotent and weakly solvable groups. A group $G$ is weakly nilpotent if its derived subgroup does not have a supplement except $G$ and a group $G$ is weakly solvable if its derived subgroup does not have a normal supplement except $G$.
Narain, Shiv +3 more
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BMC Endocrine Disorders, 2022 Background Serum extracellular vesicle (EV)-derived arginase 1 (ARG 1) plays a critical role in diabetes-associated endothelial dysfunction. This study was performed to determine the levels of serum EV-derived ARG 1 in T2DM and non-T2DM participants and ...
Xinwei Li +7 more
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Generalized dimension subgroups and derived functors [PDF]
Journal of Pure and Applied Algebra, 2016 Every two-sided ideal $\mathfrak a$ in the integral group ring $\mathbb Z[G] $ of a group $G$ determines a normal subgroup $G \cap (1 + \mathfrak a)$ of $G$. In this paper certain problems related to the identification of such subgroups, and their relationship with derived functors in the sense of Dold-Puppe, are discussed.
Mikhailov, Roman, Passi, Inder Bir S.
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