LAUSR

The prime graph on class sizes of a finite group has a bipartite complement

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1 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.09.022

Abstract: Abstract Let G be a finite group, and let cs ( G ) denote the set of sizes of the conjugacy classes of G. The prime graph built on cs ( G ) , that… read more here.

Keywords: prime graph; graph; finite group; graph class ... See more keywords

On p-parts of Brauer character degrees and p-regular conjugacy class sizes of finite groups

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1 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2020.05.018

Abstract: Let $G$ be a finite group, $p$ a prime, and $IBr_p(G)$ the set of irreducible $p$-Brauer characters of $G$. Let $\bar e_p(G)$ be the largest integer such that $p^{\bar e_p(G)}$ divides $\chi(1)$ for some $\chi… read more here.

Keywords: class sizes; finite groups; conjugacy class; parts brauer ... See more keywords

Do smaller class sizes in school matter? Experts say yes

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1 Published in 2021 at "Educational Review"

DOI: 10.1080/00131911.2021.1917102

Abstract: authentic examples from across the world and with evidence from current studies carried out in the education field. However, it seems clear that it may not always be possible to identify only one specific management… read more here.

Keywords: experts say; class sizes; smaller class; matter experts ... See more keywords

Determining group structure by set of conjugacy class sizes

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1 Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2019.1691580

Abstract: Abstract Let G be a finite group. Let further be three positive integers such that m1 and m2 do not divide each other and is coprime to m3. We prove that if the set of… read more here.

Keywords: conjugacy class; set conjugacy; group; class sizes ... See more keywords

On class sizes and primitive character degrees of p-solvable groups

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1 Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1814793

Abstract: Abstract We improve a result of Isaacs et al. with respect to character degrees and class sizes of finite groups [1, Corollary D]. read more here.

Keywords: primitive character; sizes primitive; character degrees; class sizes ... See more keywords