Results 211 to 220 of about 30,795 (238)

Thompson’s conjecture on conjugacy class sizes for the simple group PSUn(q)

International Journal of Algebra and Computation, 2017
We show that if [Formula: see text] is a finite centerless group with the same conjugacy class sizes as [Formula: see text], then [Formula: see text] and so verify a conjecture attributed to John G. Thompson.
openaire   +1 more source

Lower bounds for the number of conjugacy classes in finite solvable groups

Israel Journal of Mathematics, 1991
If \(G\) is a finite solvable group of derived length \(d\) (at least 2), and \(k(G)\) denotes the number of conjugacy classes in \(G\), then \(k(G) > | G|^{1/(2^ d-1)}\). Additional lower bounds for \(k(G)\) are derived under additional assumptions, e.g. that \(G\) has a nilpotent maximal subgroup.
openaire   +1 more source

A solvability criterion for finite groups related to vanishing conjugacy classes

Journal of Algebra and Its Applications
Let [Formula: see text] be a finite group. An element [Formula: see text] in [Formula: see text] is termed as a vanishing element if there exists at least one irreducible character [Formula: see text] of [Formula: see text] such that [Formula: see text].
openaire   +1 more source

The Number of Conjugacy Classes for Two-Generator p-Groups with a Cyclic Commutator Subgroup

Bulletin of the Malaysian Mathematical Sciences Society
The authors prove that if \(G\) is a \(2\)-generated finite \(p\)-group and the derived subgroup \(G^\prime\) of \(G\) is cyclic, then the number of conjugacy classes of \(G\) is precisely \(p^{n-c}(1+p^{-1}-p^{-(c+1)}),\) where \(|G|=p^n\) and \(|G^\prime|=p^c.\)
Nur Atiqah Abd Majid, Azhana Ahmad
openaire   +2 more sources

A finiteness condition for verbal conjugacy classes in a group

Publicationes Mathematicae Debrecen, 2013
JOSE M. MUNOZ-ESCOLANO, PAVEL SHUMYATSKY
openaire   +1 more source

A Bound for the Number of Conjugacy Classes in a Group

Journal of the London Mathematical Society, 1968
openaire   +1 more source

On a Commuting Graph on Conjugacy Classes of Groups

Communications in Algebra, 2009
Patrizia Longobardi, Mercede Maj
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 Goodwin
exaly  

Finite groups have more conjugacy classes

Forum Mathematicum, 2017
Attila Maróti, Hung P. Tong-Viet
exaly