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- W4287163552 abstract "Let G be a finite group and ? be an irreducible character of G, the number cod(?) = jG : Let $ G $ be a finite group and $ chi $ be an irreducible character of $ G $, the number $ cod(chi) = |G: kernel(chi)|/chi(1) $ is called the codegree of $ chi $. Also, $ cod(G) = { cod(chi) | chi in Irr(G) } $. For $dincod(G)$, the multiplicity of $d$ in $G$, denoted by $m'_G(d)$, is the number of irreducible characters of $G$ having codegree $d$. A finite group $G$ is called a $T'_k$-group for some integer $kgeq 1$, if there exists $d_0incod(G)$ such that $m'_G(d_0)=k$ and for every $dincod(G)-{d_0}$, we have $m'_G(d)=1$. In this note we characterize finite $T'_k$-groups completely, where $kgeq 1$ is an integer." @default.
- W4287163552 created "2022-07-25" @default.
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- W4287163552 date "2021-05-30" @default.
- W4287163552 modified "2023-09-28" @default.
- W4287163552 title "On the multiplicities of the character codegrees" @default.
- W4287163552 doi "https://doi.org/10.48550/arxiv.2105.14456" @default.
- W4287163552 hasPublicationYear "2021" @default.
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