Results 21 to 30 of about 1,123 (134)
Gallery Posets of Supersolvable Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of ...
Thomas McConville
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On supersolvability of fatorized finite groups [PDF]
Bulletin of Mathematical Sciences, 2013 Summary: We investigate the structure of finite groups that are products of two supersolvable groups and gain a sufficient condition for a group to be supersolvable. Our main theorem is the following: Let the group \(G=HK\) be the product of the subgroups \(H\) and \(K\).
Kang, Ping, Liu, Qingfeng
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On Quasi S‐Propermutable Subgroups of Finite Groups
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 A subgroup H of a finite group G is said to be quasi S‐propermutable in G if K⊲¯G such that HK is S‐permutable in G and H ∩ K ≤ HqsG, where HqsG is the subgroup formed by all those subgroups of H which are S‐propermutable in G. In this paper, we give some generalizations of finite group G by using the properties and effects of quasi S‐propermutable ...
Hong Yang +6 more
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A characterization of finite supersolvable groups
Publicationes Mathematicae Debrecen, 2012 Yangming Li, Xianhua Li
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On p-supersolvability of finite groups
Proceedings - Mathematical Sciences, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theoretical Researches about u‐Maximal Subgroups and Its Applications in Charactering IntuG
Journal of Chemistry, Volume 2019, Issue 1, 2019., 2019 Let G be a finite group and u be the class of all finite supersoluble groups. A supersoluble subgroup U of G is called u‐maximal in G if for any supersoluble subgroup V of G containing U, V = U. Moreover, IntuG is the intersection of all u‐maximal subgroups of G.
Li Zhang, Zheng-Qun Cai, Shaohui Wang
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A Note on the Normal Index and the c‐Section of Maximal Subgroups of a Finite Group
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that K ≤ M and G = MH, we called the order of H/K the normal index of M and (M∩H)/K a section of M in G. Using the concepts of normal index and c‐section, we obtain some new characterizations of p‐solvable, 2‐supersolvable, and p‐nilpotent.
Na Tang, Xianhua Li, Junjie Wei
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Finite Groups with Some SE‐Supplemented Subgroups
Algebra, Volume 2013, Issue 1, 2013., 2013 Let H be a subgroup of a finite group G, p a prime dividing the order of G, and P a Sylow p‐subgroup of G for prime p. We say that H is SE‐supplemented in G if there is a subgroup K of G such that G = HK and H∩K ≤ HseG, where HseG denotes the subgroup of H generated by all those subgroups of H which are S‐quasinormally embedded in G.
Guo Zhong +5 more
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Computing Irreducible Representations of Supersolvable Groups [PDF]
Mathematics of Computation, 1994 Recently, it has been shown that the ordinary irreducible representations of a supersolvable group G of order n given by a power-commutator presentation can be constructed in time O ( n 2 log n ) O({n^2}\log n) .
Baum, Ulrich, Clausen, Michael
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Finite Groups Whose Certain Subgroups of Prime Power Order Are S‐Semipermutable
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 Let G be a finite group. A subgroup H of G is said to be S‐semipermutable in G if H permutes with every Sylow p‐subgroup of G with (p, |H|) = 1. In this paper, we study the influence of S‐permutability property of certain abelian subgroups of prime power order of a finite group on its structure.
Mustafa Obaid, A. Kiliçman
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