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• W3045070162 abstract "Let the group $$G = AB$$ be the product of subgroups A and B, and let p be a prime. We prove that p does not divide the conjugacy class size (index) of each p-regular element of prime power order $$xin Acup B$$ if and only if G is p-decomposable, i.e. $$G=O_p(G) times O_{p'}(G)$$ ." @default.
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• W3045070162 date "2020-07-22" @default.
• W3045070162 modified "2023-10-18" @default.
• W3045070162 title "On products of groups and indices not divisible by a given prime" @default.
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• W3045070162 doi "https://doi.org/10.1007/s00605-020-01446-z" @default.
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