Restrictions on maximal invariant subgroups implying solvability of finite groups
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2018
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Abstract
Suppose that G and A are finite groups such that A acts coprimely on G via automorphisms. It is interesting to investigate the structure and properties of G when we impose some restrictions on its maximal A-invariant subgroups. More precisely, we prove the solvability of G when certain maximal A-invariant subgroups are nilpotent, when all maximal A-invariant subgroups are supersolvable, or when certain arithmetic conditions are imposed on non-nilpotent maximal A-invariant subgroups.
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beltrán2018annalirestrictions
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| Authors | Antonio Beltrán;Changguo Shao;Antonio Beltrán;Changguo Shao; |
| Journal | annali di matematica pura ed applicata (1923 -) |
| Year | 2018 |
| DOI |
doi:10.1007/s10231-018-0777-1
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