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Variable Selection for High-dimensional Nodal Attributes in Social Networks with Degree Heterogeneity. [PDF]

J Am Stat Assoc
Wang J, Cai X, Niu X, Li R.
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Circumcenter extension maps for non-positively curved spaces. [PDF]

Geom Dedic
Incerti-Medici M.
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Bayesian Linear Inverse Problems in Regularity Scales with Discrete Observations. [PDF]

Sankhya Ser A
Yan D, Gugushvili S, van der Vaart A.
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Bayesian Semiparametric Inference in LongitudinalMetabolomics Data: The EarlyBird Study

Sarkar A +6 more
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Conjugacy Classes and Class Number

Integers, 2009
AbstractIt 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, 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
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Conjugacy class numbers and π-subgroups

Pacific Journal of Mathematics, 2021
The 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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COUNTING CONJUGACY CLASSES IN

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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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
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