Results 51 to 60 of about 234 (126)
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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On the Block Structure of Supersolvable Restricted Lie Algebras
, 1996 Block theory is an important tool in the modular representation theory of finite groups (cf.[18]). Apart from a few papers (e.g. [17, 13, 16]) dealing with restricted simple Lie algebras there apparently has been no effort to do the same for other ...
Feldvoss, Jörg
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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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, 2014 Работа посвящена характеризации сверхразрешимых групп с помощью обобщенно субнормальных подгрупп.The characterization of supersolvable groups with generalized subnormal subgroups is ...
Велесницкий, В. Ф.
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Finite groups whose set of numbers of subgroups of possible order has exactly 2 elements [PDF]
, 2014 summary:Counting subgroups of finite groups is one of the most important topics in finite group theory. We classify the finite non-nilpotent groups $G$ whose set of numbers of subgroups of possible orders $n(G)$ has exactly two elements. We show that if $
Shao, Changguo, Jiang, Qinhui
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, 2008 If the quotient group of a group G modulo its hypercenter is a T-group, we call G a T1-group. We classify all finite groups which are not T1-groups but all their proper subgroups are, and compare this with the situation for supersolvable groups, T-groups,
Beidleman, J.C., Heineken, H.
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Groups with hypercyclic proper quotient groups
, 2003 We continue the investigation of (solvable) groups all proper subgroups of which are hypercyclic. The monolithic case is studied completely; in the nonmonolithic case, however, one should impose certain additional conditions.
Soules, P., Kurdachenko, L.A.
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On the solvable, nilpotent, and supersolvable groups of order at most two hundred
, 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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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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Computing irreducible representations of supersolvable groups over small finite fields
We present an algorithm to compute a full set of irreducible representations of a supersolvable group G over a finite field K, charK |G|, which is not assumed to be a splitting field of G.
Omrani, A., Shokrollahi, A
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