Results 1 to 10 of about 1,217 (67)
On the number of conjugacy classes of a permutation group [PDF]
, 2014 We prove that any permutation group of degree $n \geq 4$ has at most $5^{(n-1)/3}$ conjugacy classes.Comment: 9 ...
Garonzi, Martino, Maróti, Attila
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Frattini Argument for Hall subgroups
, 2014 In the paper, it is proved that if a finite group $G$ possesses a $\pi$-Hall subgroup for a set $\pi$ of primes, then every normal subgroup $A$ of $G$ possesses a $\pi$-Hall subgroup $H$ such that ${G=AN_G(H)}$
Revin, Danila, Vdovin, Evgeny
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On the residual and profinite closures of commensurated subgroups
, 2019 The residual closure of a subgroup $H$ of a group $G$ is the intersection of all virtually normal subgroups of $G$ containing $H$. We show that if $G$ is generated by finitely many cosets of $H$ and if $H$ is commensurated, then the residual closure of ...
Caprace, Pierre-Emmanuel +3 more
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Half-BPS M2-brane orbifolds [PDF]
, 2010 Smooth Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS_4 x X^7 and preserving at least half of the supersymmetry have been recently classified.
de Medeiros, Paul +1 more
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On the Frattini subgroup of a finite group
, 2016 We study the class of finite groups $G$ satisfying $\Phi (G/N)= \Phi(G)N/N$ for all normal subgroups $N$ of $G$. As a consequence of our main results we extend and amplify a theorem of Doerk concerning this class from the soluble universe to all finite ...
Aivazidis, Stefanos +1 more
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On subgroups in division rings of type $2$
, 2012 Let $D$ be a division ring with center $F$. We say that $D$ is a {\em division ring of type $2$} if for every two elements $x, y\in D,$ the division subring $F(x, y)$ is a finite dimensional vector space over $F$.
Akbari S. +13 more
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Classification and properties of the $\pi$-submaximal subgroups in minimal nonsolvable groups
, 2017 Let $\pi$ be a set of primes. According to H. Wielandt, a subgroup $H$ of a finite group $X$ is called a $\pi$-submaximal subgroup if there is a monomorphism $\phi:X\rightarrow Y$ into a finite group $Y$ such that $X^\phi$ is subnormal in $Y$ and $H^\phi=
Guo, Wenbin, Revin, Danila
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On the Number of Hamiltonian Groups [PDF]
, 2005 Finite hamiltonian groups are counted. The sequence of numbers of all groups of order $n$ all whose subgroups are normal and the sequence of numbers of all groups of order less or equal to $n$ all whose subgroups are normal are presented.Comment: 6 pages,
Horvat, Boris +2 more
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On $\sigma$-quasinormal subgroups of finite groups
, 2018 Let $G$ be a finite group and $\sigma =\{\sigma_{i} | i\in I\}$ some partition of the set of all primes $\Bbb{P}$, that is, $\sigma =\{\sigma_{i} | i\in I \}$, where $\Bbb{P}=\bigcup_{i\in I} \sigma_{i}$ and $\sigma_{i}\cap \sigma_{j}= \emptyset $ for ...
Hu, Bin +2 more
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, 2017 A theorem of Dolfi, Herzog, Kaplan, and Lev \cite[Thm.~C]{DHKL} asserts that in a finite group with trivial Fitting subgroup, the size of the soluble residual of the group is bounded from below by a certain power of the group order, and that the ...
Aivazidis, Stefanos, Mueller, Thomas
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