Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Seyyed Majid Jafarian Amiri"'
Publikováno v:
ریاضی و جامعه, Vol 8, Iss 4, Pp 71-79 (2023)
Let $G$ be a finite non-trivial group. The intersection graph $\Gamma(G)$, is a graph whose vertices are all proper non-trivial subgroups of $G$, and there is an edge between two distinct vertices $H $ and $K$ if and only if $H\cap K\neq 1$. In this
Externí odkaz:
https://doaj.org/article/2ac91738e5bd4b9bb035e5df14d5746c
Autor:
Seyyed Majid Jafarian Amiri
Publikováno v:
International Journal of Group Theory, Vol 2, Iss 2, Pp 35-39 (2013)
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168. These
Externí odkaz:
https://doaj.org/article/e50f1040c2b54975941d64edcd4d7350
Publikováno v:
Mathematica Slovaca. 67:1147-1154
A finite group G is called an F-group (G ∈ F) if for every x, y ∈ G ∖ Z(G), C G (x) ≤ C G (y) implies that C G (x) = C G (y). An important subclass of F-groups are CA-groups, consisting of groups in which all centralizers of noncentral elemen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5018cefd45d138d7142cf730acec6552
https://doi.org/10.1515/ms-2017-0038
https://doi.org/10.1515/ms-2017-0038
Publikováno v:
Communications in Algebra. 45:3792-3797
For a finite group G, let |Cent(G)| and ω(G) denote the number of centralizers of its elements and the maximum size of a set of pairwise noncommuting elements of it, respectively. A group G is called n-centralizer if |Cent(G)| = n and primitive n-ce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c2aa606728a260805607d70ae0eb64f
https://doi.org/10.1080/00927872.2016.1246664
https://doi.org/10.1080/00927872.2016.1246664
Publikováno v:
Communications in Algebra. 45:3396-3401
Let G be a finite solvable group of order n and p be a prime divisor of n. In this article, we prove that if the Sylow p-subgroup of G is neither cyclic nor generalized quaternion, then there exists a bijection f from G onto the abelian group Cnp×Cp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e642cfb497f251c7a2c004116de9f154
https://doi.org/10.1080/00927872.2016.1236932
https://doi.org/10.1080/00927872.2016.1236932
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 40:1025-1034
Given a finite group G, we denote by $$\psi (G)$$ the sum of the element orders in G. In this article, we prove that if t is the number of nonidentity conjugacy classes in G, then $$\psi (G)=1+t|G|$$ if and only if G is either a group of prime order
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::007cfe7238eafdfa985347ce64b7f9bc
https://doi.org/10.1007/s40840-016-0353-z
https://doi.org/10.1007/s40840-016-0353-z
Publikováno v:
Publicationes Mathematicae Debrecen. 87:429-437
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2466961694499877d21d0ac4705f72a7
https://doi.org/10.5486/pmd.2015.7248
https://doi.org/10.5486/pmd.2015.7248
Publikováno v:
Journal of Algebra and Its Applications. 18:1950108
In this paper, we consider the influence of the number of centralizers of noncentral elements of odd order on the solvability of finite groups. Also, we characterize some finite groups in which the centralizer of every noncentral element of odd order
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cebc653e6e351c2b072e045a6964fc63
https://doi.org/10.1142/s0219498819501081
https://doi.org/10.1142/s0219498819501081
Autor:
Seyyed Majid Jafarian Amiri
Publikováno v:
Communications in Algebra. 41:2055-2059
In [1], the authors proved that the maximum sum of element orders on finite groups of the same order occurs in cyclic group. In this paper we obtain the structure of groups having maximum sum of element orders on noncyclic nilpotent group of the same
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b24a2c874c2de701e0da70871c428577
https://doi.org/10.1080/00927872.2011.653070
https://doi.org/10.1080/00927872.2011.653070
Publikováno v:
Volume: 46, Issue: 2 193-198
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
In this article, we determine the structure of all nonabelian groups $G$ such that $G$ has the minimum number of the element centralizers among nonabelian groups of the same order. As an application of this result, we obtain the sharp lower bound for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b9cb1ac60c8e3dfd51236352cc45a53
https://dergipark.org.tr/tr/pub/hujms/issue/39109/458335
https://dergipark.org.tr/tr/pub/hujms/issue/39109/458335
