Sara Rodrigues

most citedExponent of a finite group of odd order with an involutory automorphism

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.GR2019

Exponent of a finite group admitting a coprime automorphism

Sara Rodrigues, Pavel Shumyatsky

Let $G$ be a finite group admitting a coprime automorphism $ϕ$ of order $n$ . Denote by $G_{ϕ}$ the centralizer of $ϕ$ in $G$ and by $G_{- ϕ}$ the set ${x^{- 1} x^{ϕ}; x \in G}$ . We pr…

math.GR2019★ 2 cited

Exponent of a finite group of odd order with an involutory automorphism

Sara Rodrigues, Pavel Shumyatsky

Let $G$ be a finite group of odd order admitting an involutory automorphism $ϕ$ . We obtain two results bounding the exponent of $[G, ϕ]$ . Denote by $G_{- ϕ}$ the set $\{[g,ϕ]\,\vert\…