COPRIME COMMUTATORS IN THE SUZUKI GROUPS $^{\textbf{2}}{\boldsymbol{B}}_{\textbf{2}}\boldsymbol{(q)}$
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DOI: 10.1017/s0004972720001537
Abstract: Abstract In this note we show that every element of a simple Suzuki group $^2B_2(q)$ is a commutator of elements of coprime orders. read more here.
Keywords: coprime commutators; boldsymbol; textbf boldsymbol; suzuki groups ... See more keywords
Coprime commutators in finite groups
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1579338
Abstract: Abstract Let G be a finite group and let We prove that the coprime subgroup is nilpotent if and only if for any -commutators of coprime orders (Theorem A). Moreover, we show that the coprime… read more here.
Keywords: finite groups; commutators finite; coprime commutators;