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Products of groups and class sizes of \(\pi \)-elements - MaRDI portal

Products of groups and class sizes of \(\pi \)-elements (Q2295487)

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Products of groups and class sizes of \(\pi \)-elements
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    Products of groups and class sizes of \(\pi \)-elements (English)
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    13 February 2020
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    The authors prove criteria for some finite factorised groups $G=AB$ when the conjugacy class sizes in $G$ of certain $\pi$-elements in $A\cup B$ are either $\pi$-numbers or $\pi'$-numbers, for a set of primes $\pi$.
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    finite groups
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    conjugacy classes
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    products of groups
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    \( \pi \)-structure
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