Derived Length and Products of Conjugacy Classes

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dc.creatorAdan-Bante, Edith
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:54Z
dc.date.available2026-07-07T07:36:54Z
dc.descriptionLet $G$ be a supersolvable group and $A$ be a conjugacy class of $G$. Observe that for some integer $η(AA^{-1})>0$, $AA^{-1}=\{a b^{-1}\mid a,b\in A\}$ is the union of $η(AA^{-1})$ distinct conjugacy classes of $G$. Set ${\bf C}_G(A)=\{g\in G\mid a^g=a\text{for all} a\in A\}$. Then the derived length of $G/{\bf C}_G(A)$ is less or equal than $2η(A A^{-1})-1$.
dc.identifierhttps://arxiv.org/abs/math/0612723
dc.identifierhttp://arxiv.org/abs/math/0612723
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120589
dc.subjectGroup Theory
dc.subject20d15
dc.titleDerived Length and Products of Conjugacy Classes
dc.typetext

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