Results 191 to 200 of about 1,309 (212)

On a Graph Related to Conjugacy Classes of Groups

Bulletin of the London Mathematical Society, 1990
The conjugacy classes of a group play an important role in its structure. The authors consider the set of non-central conjugacy classes of a finite group \(G\), \(\hbox{Con}(G)\). They then construct a graph \(\Gamma(G)\) whose vertices are in 1-1 correspondence with \(\hbox{Con}(G)\) and where two vertices are connected when the sizes of the conjugacy
Bertram, Edward A., Herzog, Marcel, Mann, Avinoam   +2 more
openaire   +2 more sources

ON GROUPS WITH TWO INFINITE CONJUGACY CLASSES

Ischia Group Theory 2006, 2007
An element x of a group G is called an FC-element if the conjugacy class of x is finite. A group is called an FC-group if all its elements are FC-elements. FC-groups were first studied by R. Baer and B.H. Neumann and then by many other authors. We denote by D_i the class of groups with i conjugacy classes of infinite size.
M. HERZOG, LONGOBARDI, Patrizia, MAJ, Mercede   +2 more
openaire   +2 more sources

A Note on Conjugacy Classes of Finite Groups

gmj, 2008
Abstract We classify the finite groups satisfying the following property: the orders of every three non-conjugated non-central elements are set-wise relatively prime.
openaire   +2 more sources

Conjugacy Classes of the 3-Braid Group

Algebra Colloquium, 2010
In this article, we describe the summit sets in the 3-braid group, the smallest element in a summit set, and we compute the Hilbert series corresponding to conjugacy classes. The results are related to the Birman–Menasco classification of knots with braid index three or less than three.
openaire   +2 more sources

On the Conjugacy Classes in an Integral Group Ring

Canadian Mathematical Bulletin, 1978
Let G be a periodic group and ZG its integral group ring. The elements ±g(g∈G) are called the trivial units of ZG. In [1], S. D. Berman has shown that if G is finite, then every unit of finite order is trivial if and only if G is abelian or the direct product of a quaternion group of order 8 and an elementary abelin 2-group. By comparison, Losey in [7]
openaire   +2 more sources

Cosets of normal subgroups and powers of conjugacy classes

Mathematische Nachrichten, 2021
Antonio Beltran, Maria JOSÉ Felipe
exaly  

Central limit theorem for descents in conjugacy classes of S

Journal of Combinatorial Theory - Series A, 2020
Sangchul Lee
exaly  

On the number of conjugacy classes of finite nilpotent groups

Advances in Mathematics, 2011
Andrei Jaikin-Zapirain
exaly  

Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups

Journal of Algebra, 2009
Simon M Goodwin, Gerhard Röhrle
exaly  

SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES

Communications in Algebra, 2001
Udo Riese
exaly