Groups with the Same Prime Graph as the Simple Group D (n) (5)BabaiA.KhosraviB.ingentaconnectUkrainian Mathematical Journal C/c of Ukrainskii Matematicheskii Zhurnal
The prime graph of G is denoted by I"(G). Let G be a finite group such that I"(G) = I"(D (n) (5)), where n a parts per thousand yen 6. In the paper, as the main result, we show that if n is odd, then G is recognizable by the prime graph and if n is even, ...
In this paper we determine finite groups G such that their prime graph is the same prime graph of M, where M is a CIT simple group. As a consequence of this result, we prove that if p>7 is a Mersenne prime or a Fermat prime, then PSL(2,p) is uniquely determined by its prime ...
Then G is regularly branched if and only if its set of portraits is a tree regular language.We point out that in the “if” direction of the theorem above, we do not need that G is level-transitive.Theorem B(= Theorem 2) Let G be a contracting regularly branched group. Then its ...
Beltrán Antonio,Felipe María José - 《Bulletin of the Australian Mathematical Society》 被引量: 0发表: 2003年 Finite Groups in Which Each of Conjugacy Class Lengths is Squarefree for Some Primes In this paper, we consider finite groups G with property SN(p): For a fixed prime divisor p ...
The GitLab Test — 12 Steps to Better Remote The importance of a handbook-first approach to communication The phases of remote adaptation The Remote Work Report 2021 What not to do when implementing remote: don't replicate the in-office experience remotely Why GitLab uses the term all...
Recognition of Finite Simple Groups Whose First Prime Graph Components are r-Regular Asian Academy of Management Journal of Accounting & FinanceLIANGCAI ZHANGWUJIE SHIDAPENG YUJIN WANG
For finite groups, power graphs are always connected since every element is connected to the identity element. However, for the purpose of studying connectivity, it is more interesting to consider the reduced power graph, which is the power graph with the identity element removed. In particular,...
摘要: We obtain some structural properties of a factorised group $G = AB$, giventhat the conjugacy class sizes of certain elements in $A\cup B$ are notdivisible by $p^2$, for some prime $p$. The case when $G = AB$ is a mutuallypermutable product is especially considered.关键词: ...
M. Zub, “Groups in which all Abelian subgroups of nonprime orders have complements,” Dopovidi Akad. Nauk Ukr. RSR, A, No. 4, 307–308 (1972). Google Scholar D. I. Zaitsev, M. I. Kargapolov, and V. S. Charin, “Infinite groups with prescribed properties of subgroups,” Ukr....