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M-groups and the supersolvable residual

open access: yesMathematische Zeitschrift, 1969
A finite group G is an M-group (monomial group) if each irreducible complex character of G is induced from a linear character of a subgroup of G. It is well known that M-groups are always solvable and that certain types of solvable groups are M-groups. In [5] Dornhoff proved a theorem implying that the class of M-groups is rather large.
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Notes on Solvability andp-Supersolvability of Finite Groups [PDF]

open access: bronze, 2019
Zhang Jia   +3 more
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