Results 51 to 60 of about 5,389,809 (116)
On the solvable, nilpotent, and supersolvable groups of order at most two hundred [PDF]
, 1998 The emphasis of this paper is to determine whether a group is solvable (resp., nilpotent, supersolvable) based on its order. Throughout the thesis, a number is considered solvable (resp., nilpotent, supersolvable) if every group of that particular order ...
Smith, Derek Keith
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Finite groups with supersolvable subgroup cofactors
, 2008 Let in group О maximal subgroup cofactors be supersolvable. It is proved that non-Abelian composition factors are iso morphic to group PSL(2, p\ p - primes, p = ± 1 (mod 8). If group G is soluble then its nilpotent length does not exceed 3, p-length /ДО)
Евтухова, С. М. +1 more
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The pro-supersolvable topology on a free group: deciding denseness [PDF]
, 2023 Let $F$ be a free group of arbitrary rank and let $H$ be a finitely generated subgroup of $F$. Given a pseudovariety $\mathbf{V}$ of finite groups, i.e.
Tracey, Gareth +2 more
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Large Orbits of Supersolvable Linear Groups
Journal of Algebra, 1999 The study of regular orbits of linear groups plays an important role in representation theory, particularly that of solvable groups because a chief factor of a solvable group \(G\) is an irreducible \(G\)-module. Existence of regular orbits has had applications to Brauer's conjectures on height zero characters and block size as well as length-type ...
openaire +1 more source
A generalization of Hall-complementation in finite supersolvable groups [PDF]
Transactions of the American Mathematical Society, 1969 g*: For each normal subgroup N$ 'P(G), each reduced product of G over N is a semidirect product. (G = NB is a reduced product over a normal subgroup N by a subgroup B iff B does not contain a proper subgroup B* such that G = NB*.) F. Gross [5] has shown that for a finite solvable group G having 4!(G) = 1, splitting over each normal subgroup is ...
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Supersolvable descent for rational points
International audienceWe construct an analogue of the classical descent theory of Colliot-Thélène and Sansuc in which algebraic tori are replaced with finite supersolvable groups.
Harpaz, Yonatan, Wittenberg, Olivier
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How Is a Chordal Graph Like a Supersolvable Binary Matroid? [PDF]
, 2004 Let G be a finite simple graph Fromth pioneering work of R.P. Stanley it is known that the cycle matroid of G is supersolvable iff G ischfi'J' (rigid):thg is another way to read Dirac'sthLTPO onchO'PO graphO ChphO binary matroids are
Forge, David +5 more
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p-supersolvability of factorized finite groups
Hokkaido Mathematical Journal, 1992 The author calls two subgroups \(H\), \(K\) of a group mutually permutable if \(H\) is permutable with every subgroup of \(K\) and \(K\) is permutable with every subgroup of \(H\). He obtains the following main results: If \(G = HK \neq 1\) and \(H\) and \(K\) are mutually permutable, then \(H\) or \(K\) contains a nontrivial normal subgroup of \(G ...
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M-groups and the supersolvable residual
Mathematische 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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On supersolvable and nearly supersolvable line arrangements
, 2018 v.2, major changes, main new result is Proposition 2.1International audienceWe introduce a new class of line arrangements in the projective plane, called nearly supersolvable, and show that any arrangement in this class is either free or nearly free ...
Dimca, Alexandru, Sticlaru, Gabriel
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