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- W4213153669 abstract "Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V . Then G has a uniquely determined normal subgroup E which is a direct product of extraspecial p -groups for various p and we denote e = | E / Z ( E ) | . We prove that when e ⩾ 10 and e ≠ 16 , G will have at least 5 regular orbits on V . We also construct groups with no regular orbits on V when e = 8 , 9 and 16." @default.
- W4213153669 created "2022-02-24" @default.
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- W4213153669 date "2010-05-01" @default.
- W4213153669 modified "2023-09-27" @default.
- W4213153669 title "Regular orbits of finite primitive solvable groups" @default.
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- W4213153669 doi "https://doi.org/10.1016/j.jalgebra.2010.02.031" @default.
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