The largest conjugacy class size and the nilpotent subgroups of finite groups
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AbstractLetHbe a nilpotent subgroup of a finite nonabelian groupG, let{\pi=\pi(|H|)}and let{{\operatorname{bcl}}(G)}be the largest conjugacy class size of the groupG. In the present paper, we show that{|HO_{\pi}(G)/O_{\pi}(G)|<{\operatorname{bcl}}(G)}.
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2017 ◽
Vol 46
(5)
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pp. 2218-2226
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2013 ◽
Vol 89
(3)
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pp. 522-523
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