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- W2080182581 abstract "Let $G$ be an almost simple group. We prove that if $x in G$ has prime order $p ge 5$, then there exists an involution $y$ such that $ $ is not solvable. Also, if $x$ is an involution then there exist three conjugates of $x$ that generate a nonsolvable group, unless $x$ belongs to a short list of exceptions, which are described explicitly. We also prove that if $x$ has order $6$ or $9$, then there exists two conjugates that generate a nonsolvable group." @default.
- W2080182581 created "2016-06-24" @default.
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- W2080182581 date "2010-12-11" @default.
- W2080182581 modified "2023-09-27" @default.
- W2080182581 title "Further solvable analogues of the Baer-Suzuki theorem and generation of nonsolvable groups" @default.
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