Results 51 to 60 of about 1,123 (133)
Inductive and divisional posets
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We call a poset factorable if its characteristic polynomial has all positive integer roots. Inspired by inductive and divisional freeness of a central hyperplane arrangement, we introduce and study the notion of inductive posets and their superclass of divisional posets.
Roberto Pagaria +3 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 ...
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A survey of the number of supersolvable subgroups of finite groups [PDF]
, 2022 Primitivo B. Acosta-Humánez +2 more
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New characterizations for supersolvability of fusion system and $p$-nilpotency of finite groups [PDF]
, 2023 Shengmin Zhang, Zhencai Shen
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Supersolvable closures of finitely generated subgroups of the free group [PDF]
, 2022 Li‐Da Chen, Jianchun Wu
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The pro-supersolvable topology on a free group: deciding denseness [PDF]
, 2023 Claude Marion +2 more
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On the supersolvability of a finite group by the sum of subgroup orders [PDF]
, 2021 Marius Tărnăuceanu
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Finite groups whose maximal subgroups of order divisible by all the\n primes are supersolvable [PDF]
, 2020 Alexander Moretó
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On Supersolvability Of Finite Groups With P-Subnormal Subgroups [PDF]
, 2013 Viktoryia N. Kniahina +1 more
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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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