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pro vyhledávání: '"Makarenko, N. Yu."'
Autor:
Makarenko, N. Yu.
Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. The
Externí odkaz:
http://arxiv.org/abs/2212.03522
Autor:
Makarenko, N. Yu
Suppose that a Lie type algebra L over a field K admits a Frobenius group of automorphisms FH with cyclic kernel F of order n and complement H such that the fixed-point subalgebra of F is trivial and the fixed-point subalgebra of H is nilpotent of cl
Externí odkaz:
http://arxiv.org/abs/2111.14649
Autor:
Makarenko, N. Yu.1 (AUTHOR) natalia_makarenko@yahoo.fr
Publikováno v:
Siberian Mathematical Journal. May2023, Vol. 64 Issue 3, p639-648. 10p.
Autor:
Makarenko, N. Yu.
An algebra $L$ over a field $\Bbb F$, in which product is denoted by $[\,,\,]$, is said to be \textit{ Lie type algebra} if for all elements $a,b,c\in L$ there exist $\alpha, \beta\in \Bbb F$ such that $\alpha\neq 0$ and $[[a,b],c]=\alpha [a,[b,c]]+\
Externí odkaz:
http://arxiv.org/abs/1411.0249
Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is proved that if the involution in $\langle g\rangle$ has nilpotent centralizer, then $G$ has a soluble subgroup of finite index.
Externí odkaz:
http://arxiv.org/abs/1410.1521
Suppose that a finite group $G$ admits an automorphism $\varphi $ of order $2^n$ such that the fixed-point subgroup $C_G(\varphi ^{2^{n-1}})$ of the involution $\varphi ^{2^{n-1}}$ is nilpotent of class $c$. Let $m=|C_G(\varphi)|$ be the number of fi
Externí odkaz:
http://arxiv.org/abs/1409.7807
Autor:
Khukhro, E. I., Makarenko, N. Yu.
Suppose that a finite $p$-group $P$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ that is a cyclic $p$-group and with complement $H$. It is proved that if the fixed-point subgroup $C_P(H)$ of the complement is nilpotent of class $c$,
Externí odkaz:
http://arxiv.org/abs/1302.3499
Autor:
Makarenko, N. Yu., Khukhro, E. I.
Publikováno v:
Siberian Mathematical Journal January 2013, Volume 54, Issue 1, pp 99-113
Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ such that the characteristic of the ground field does not divide $|H|$. It is proved that if the subalgebra $C_L(F)$ of fix
Externí odkaz:
http://arxiv.org/abs/1301.3647
Autor:
Khukhro, E. I., Makarenko, N. Yu.
Publikováno v:
Journal of Algebra, 386 (2013), 77-104
Suppose that a finite group $G$ admits a Frobenius group of automorphisms FH of coprime order with cyclic kernel F and complement H such that the fixed point subgroup $C_G(H)$ of the complement is nilpotent of class $c$. It is proved that $G$ has a n
Externí odkaz:
http://arxiv.org/abs/1301.3409