7 hasil untuk "Mercede Maj"
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Artikel Jurnal Teks lengkap
Small doubling in $m$-Engel groups
We study some inverse problems of small doubling type in the class of $m$-Engel groups. In particular we investigate the structure of a finite subset $S$ of a torsion-free $m$-Engel group if $|S^2| = 2|S|+b$, where $0 \leq b \leq |S|-4$, for some values of $b$.
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Artikel Jurnal Teks lengkap
Groups with reality and conjugacy conditions
Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups. We study groups in which real elements are central, groups in which real elements are 2-elements…
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Groups with numerical restrictions on minimal generating sets
We study an inverse problem of small doubling type. We investigate the structure of a finitely generated group $G$ such that, for any set $S$ of generators of $G$ of minimal order, we have $S^2 leq 3|S|-beta$, where $beta in {1, 2, 3}$
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New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups
In this survey we shall describe some recent criteria for solvability, nilpotency and other properties of finite groups $G$, based either on the orders of the elements of $G$ or on the orders of the subgroups of $G$.
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Artikel Jurnal Teks lengkap
On some groups whose subnormal subgroups are contranormal-free
If $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups. Obviously, a nilpotent group is contranormal-free. Conversely, if…
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Artikel Jurnal Teks lengkap
Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups
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 ascending series whose factors are either locally…
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Artikel Jurnal Teks lengkap
On pairs of antagonistic subgroups and theirs influence on the structure of groups
In this survey we collect some results on the influence on the structure of a group of some families of its subgroups satisfying conditions related to normality. In particular we focus on groups whose subgroups have two antagonistic properties.