Zobrazeno 1 - 10
of 204
pro vyhledávání: '"Herzog, Marcel"'
Let $G$ be a group. Write $G^{*}=G\setminus \{1\}$. An element $x$ of $G^{*}$ will be called deficient if $ \langle x\rangle < C_G(x)$ and it will be called non-deficient if $\langle x\rangle = C_G(x).$ If $x\in G$ is deficient (non-deficient), then
Externí odkaz:
http://arxiv.org/abs/2303.11027
In this paper we shall deal with periodic groups, in which each element has a prime power order. A group $G$ will be called a $BCP$-group if each element of $G$ has a prime power order and for each $p\in \pi(G)$ there exists a positive integer $u_p$
Externí odkaz:
http://arxiv.org/abs/2205.07248
Publikováno v:
In Journal of Algebra 1 January 2024 637:112-131
Denote by $G$ a finite group and by $\psi(G)$ the sum of element orders in $G$. If $t$ is a positive integer, denote by $C_t$ the cyclic group of order $t$ and write $\psi(t)=\psi(C_t)$. In this paper we proved the following Theorem A: Let $G$ be a n
Externí odkaz:
http://arxiv.org/abs/1905.12291
Denote by $G$ a finite group and let $\psi(G)$ denote the sum of element orders in $G$. In 2009, H.Amiri, S.M.Jafarian Amiri and I.M.Isaacs proved that if $|G|=n$ and $G$ is non-cyclic, then $\psi(G)<\psi(C_n)$, where $C_n$ denotes the cyclic group o
Externí odkaz:
http://arxiv.org/abs/1901.09662
Publikováno v:
In Journal of Algebra 1 May 2022 597:1-23
Publikováno v:
European Journal of Mathematics; Sep2024, Vol. 10 Issue 3, p1-10, 10p
Denote the sum of element orders in a finite group $G$ by $\psi(G)$ and let $C_n$ denote the cyclic group of order $n$. Suppose that $G$ is a non-cyclic finite group of order $n$ and $q$ is the least prime divisor of $n$. We proved that $\psi(G)\leq\
Externí odkaz:
http://arxiv.org/abs/1610.03669
Autor:
Freiman, Gregory A., Herzog, Marcel, Longobardi, Patrizia, Maj, Mercede, Stanchescu, Yonutz V.
Publikováno v:
European Journal of Combinatorics, Volume 67, 2018, Pages 87-95
The aim of this paper is to present a complete description of the structure of finite subsets with small doubling property in ordered nilpotent groups of class 2.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/1605.07126
Autor:
Bianchi, Mariagrazia, Herzog, Marcel
In this paper we consider finite groups G satisfying the following condition: G has two columns in its character table which differ by exactly one entry. It turns out that such groups exist and they are exactly the finite groups with a non-trivial in
Externí odkaz:
http://arxiv.org/abs/1605.01585