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pro vyhledávání: '"Jabara, Enrico"'
Let $G$ and $A$ be groups where $A$ acts on $G$ by automorphisms. We say "\textit{the action of $A$ on $G$ is good}" if the equality $% H=[H,B]C_H(B)$ holds for any subgroup $B$ of $A$ and for any $B$-invariant subgroup $H$ of $G$. It is straightforw
Externí odkaz:
http://arxiv.org/abs/2010.00666
Autor:
Jabara, Enrico, Mamontov, Andrey
Let $G$ be a periodic group, the spectrum $\omega(G) \subseteq \mathbb{N}$ of $G$ is the set of orders of elements in $G$. In this paper we prove that the alternating group $A_{7}$ is uniquely defined by its spectrum in the class of all groups.
Externí odkaz:
http://arxiv.org/abs/2008.06307
Let $G$ and $A$ be finite groups with $A$ acting on $G$ by automorphisms. In this paper we introduce the concept of "good action"; namely we say the action of $A$ on $G$ is good, if $H=[H,B]C_H(B)$ for every subgroup $B$ of $A$ and every $B$-invarian
Externí odkaz:
http://arxiv.org/abs/1911.06588
Autor:
Bettio, Egle, Jabara, Enrico
Publikováno v:
Monatshefte für Mathematik; Oct2024, Vol. 205 Issue 2, p267-277, 11p
Autor:
Jabara, Enrico
We describe $\{2,3\}$-groups in which the order of a product of any two elements of orders at most $4$ does not exceed $9$ and the centralizer of every involution is a locally cyclic $2$-subgroup. In particular, we will prove that these groups are lo
Externí odkaz:
http://arxiv.org/abs/1508.03849
Autor:
Busetto, Giorgio, Jabara, Enrico
Let $G$ be a finite soluble group and $h(G)$ its Fitting length. The aim of this paper is to give certain upper bounds for $h(G)$ as functions of the Fitting length of at least three Hall subgroups of $G$ which factorize $G$ in a particular way.
Externí odkaz:
http://arxiv.org/abs/1507.07663
Publikováno v:
In Journal of Algebra 15 October 2020 560:486-501
In this paper we are concerned with finite soluble groups $G$ admitting a factorisation $G=AB$, with $A$ and $B$ proper subgroups having coprime order. We are interested in bounding the Fitting height of $G$ in terms of some group-invariants of $A$ a
Externí odkaz:
http://arxiv.org/abs/1311.4314
Autor:
Jabara, Enrico, Spiga, Pablo
We show that a finite permutation group containing a regular abelian self-normalizing subgroup is soluble.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1305.6263