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Assessing spatial disparities: a Bayesian linear regression approach. [PDF]
BiostatisticsWu K, Banerjee S.
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Conjugacy Classes and Class Number
Integers, 2009AbstractIt is shown that the conjugacy classes of integral matrices with a given irreducible characteristic polynomial is in bijection with the class group of a corresponding order in an algebraic number field.
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Groups with few conjugacy classes
Proceedings of the Edinburgh Mathematical Society, 2011AbstractLet 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
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Conjugacy class numbers and π-subgroups
Pacific Journal of Mathematics, 2021The number \(l(G)\) of \(p\)-regular classes of a finite group \(G\) is a key invariant in modular representation theory. The main question is wether \(l(G)\) can be bounded by the number of conjugacy classes of some subgroup of \(G\) of order not divisible by \(p\). This would have consequences for the Malle-Robinson \(l(B)\)-conjecture. In this paper,
Malle, Gunter +2 more
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Bulletin of the Australian Mathematical Society, 2018
We show that if a finitely generated group$G$has a nonelementary WPD action on a hyperbolic metric space$X$, then the number of$G$-conjugacy classes of$X$-loxodromic elements of$G$coming from a ball of radius$R$in the Cayley graph of$G$grows exponentially in$R$.
MICHAEL HULL, ILYA KAPOVICH
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We show that if a finitely generated group$G$has a nonelementary WPD action on a hyperbolic metric space$X$, then the number of$G$-conjugacy classes of$X$-loxodromic elements of$G$coming from a ball of radius$R$in the Cayley graph of$G$grows exponentially in$R$.
MICHAEL HULL, ILYA KAPOVICH
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Groups with bounded verbal conjugacy classes
Journal of Group Theory, 2006Let \(F\) 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
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2012
This chapter analyzes Frobenius conjugacy classes. It shows that in either the split or nonsplit case, when χ is good for N, the conjugacy class FrobE,X has unitary eigenvalues in every representation of the reductive group Garith,N. Now fix a maximal compact subgroup K of the complex reductive group Garith,N (ℂ).
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This chapter analyzes Frobenius conjugacy classes. It shows that in either the split or nonsplit case, when χ is good for N, the conjugacy class FrobE,X has unitary eigenvalues in every representation of the reductive group Garith,N. Now fix a maximal compact subgroup K of the complex reductive group Garith,N (ℂ).
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Triangle-free commuting conjugacy class graphs
Journal of Group Theory, 2016Abstract For a group G, let Γ ( G )
Mohammadian, Abbas +3 more
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