Results 1 to 10 of about 234 (126)
Some results on π-solvable and supersolvable groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
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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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International Journal of Mathematics and Mathematical Sciences, 1997 Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
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List Decoding Group Homomorphisms Between Supersolvable Groups [PDF]
CoRR, 2014 We show that the set of homomorphisms between two supersolvable groups can be locally list decoded up to the minimum distance of the code, extending the results of Dinur et al. (Proc. STOC 2008) who studied the case where the groups are abelian. Moreover,
Guo, Alan +3 more
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On Finite D-maximal Groups [PDF]
Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1054-1070, March 2024., 2023 Let d be a positive integer. A finite group is called d-maximal if it can be generated by precisely d-elements, whereas its proper subgroups have smaller generating sets.
Mima Stanojkovski +5 more
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Nilpotent by Supersolvable M-Groups
Canadian Journal of Mathematics, 1985 A character of a finite group G is monomial if it is induced from a linear (degree one) character of a subgroup of G. A group G is an M-group if all its complex irreducible characters (the set Irr(G)) are monomial.In [1], Dade gave an example of an M ...
Alan E. Parks
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Mutually Permutable Products of Finite Groups [PDF]
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 Let G be a finite group and G1, G2 are two subgroups of G. We say that G1 and G2 are mutually permutable if G1 is permutable with every subgroup of G2 and G2 is permutable with every subgroup of G1. We prove that if is the product of three supersolvable
Rola A. Hijazi
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ON THE SUPERSOLVABILITY OF BICYCLIC GROUPS. [PDF]
Proc Natl Acad Sci U S A, 1961 Douglas J.
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Groups with supersolvable automorphism group
We call a finite group G ultrasolvable if it has a characteristic subgroup series whose factors are cyclic. It was shown by Durbin--McDonald that the automorphism group of an ultrasolvable group is supersolvable. The converse statement was established by
Sambale, Benjamin
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On Supersolvable Groups and a Theorem of Huppert
Canadian Mathematical Bulletin, 1990 We obtain the following generalization of a well known result of Huppert. If p is the largest primer divisor of the order of a finite group G and q is any prime distinct from p, then G is supersolvable if and only if every maximal subgroup whose index is
N. P. Mukherjee, Prabir Bhattacharya
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