Results 181 to 190 of about 1,309 (212)

Bayesian Semiparametric Inference in LongitudinalMetabolomics Data: The EarlyBird Study

open access: yes
Sarkar A   +6 more
europepmc   +1 more source

On a Commuting Graph on Conjugacy Classes of Groups

open access: yesCommunications in Algebra, 2009
We consider the graph Γ(G), associated with the conjugacy classes of a group G. Its vertices are the nontrivial conjugacy classes of G, and we join two different classes C, D, whenever there exist x ∈ G and y ∈ D such that xy = yx. The aim of this article is twofold.
Marcel Herzog   +2 more
exaly   +3 more sources

On the computation of conjugacy classes of Chevalley groups

Applicable Algebra in Engineering, Communications and Computing, 1996
Let \(G\) be a connected reductive algebraic group defined over a Galois field \(F_q\) with corresponding Frobenius endomorphism \(F\) and a finite group \(G^F\) of \(F\)-fixed points. Two semisimple conjugacy classes \([s_1]\) and \([s_2]\) of \(G^F\) are called of the same genus if the centralizers \(C_G(s_1)\) and \(C_G(s_2)\) are conjugate under ...
Peter Fleischmann
exaly   +2 more sources

Squares of real conjugacy classes in finite groups [PDF]

open access: yesAnnali Di Matematica Pura Ed Applicata, 2017
We prove that if a finite group G contains a conjugacy class K whose square is of the form 1∪D, where D is a conjugacy class of G, then ⟨K⟩ is a solvable proper normal subgroup of G and we completely determine its structure.
Antonio Beltran, Maria JOSÉ Felipe
exaly   +3 more sources

Groups with few conjugacy classes

Proceedings of the Edinburgh Mathematical Society, 2011
AbstractLet G be a finite group, let p be a prime divisor of the order of G and let k(G) be the number of conjugacy classes of G. By disregarding at most finitely many non-solvable p-solvable groups G, we have $k(G)\geq2\smash{\sqrt{p-1}}$ with equality if and only if if $\smash{\sqrt{p-1}}$ is an integer, $G=C_{p}\rtimes\smash{C_{\sqrt{p-1}}}$ and CG ...
Héthelyi, László   +3 more
openaire   +2 more sources

Groups with bounded verbal conjugacy classes

Journal of Group Theory, 2006
Let \(F\) be a free group, \(w\in F\), \(G_w\) be the set of all \(w\)-values in \(G\) and let \(w(G)\) be the verbal subgroup of \(G\) corresponding to \(w\) (i.e., \(w(G)\) is the subgroup generated by \(G_w\)). A word \(w\) is called boundedly concise if, for each group \(G\) such that \(|G_w|\leq m\), we have \(|w(G)|\leq c\) for some integer \(c\)
Brazil, Sergio   +2 more
openaire   +2 more sources

On the conjugacy class lengths of finite groups

Siberian Mathematical Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kong, Qingjun, Guo, Xiuyun
openaire   +1 more source

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