Results 31 to 40 of about 5,522,853 (247)
Primitive Permutation Groups with Primitive Jordan Sets
Journal of the London Mathematical Society, 1996 Let \(\Omega\) be a set and \(G\) a group of permutations of \(\Omega\). A subset \(\Sigma\) of \(\Omega\) is said to be a Jordan set (for \(G\) in \(\Omega\)) if \(|\Sigma|>1\) and there is a subgroup \(H\) of \(G\) that is transitive on \(\Sigma\) and fixes the complement \(\Omega\setminus\Sigma\) pointwise.
Adeleke, SA, Neumann, P
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2-closures of primitive permutation groups of holomorph type
Open Mathematics, 2019 The 2-closure G(2) of a permutation group G on a finite set Ω is the largest subgroup of Sym(Ω) which has the same orbits as G in the induced action on Ω × Ω.
Yu Xue, Pan Jiangmin
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Covering monolithic groups with proper subgroups [PDF]
International Journal of Group Theory, 2013 Given a finite non-cyclic group $G$, call $sigma(G)$ the smallest number of proper subgroups of $G$ needed to cover $G$. Lucchini and Detomi conjectured that if a nonabelian group $G$ is such that $sigma(G) < sigma(G/N)$ for every non-trivial normal ...
Martino Garonzi
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The Sum of a Finite Group of Weights of a Hopf Algebra
Axioms, 2012 Motivated by the orthogonality relations for irreducible characters of a finite group, we evaluate the sum of a finite group of linear characters of a Hopf algebra, at all grouplike and skew-primitive elements.
Apoorva Khare
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Whitehead groups of exchange rings with primitive factors artinian
International Journal of Mathematics and Mathematical Sciences, 2001 We show that if R is an exchange ring with primitive factors artinian then K1(R)≅U(R)/V(R), where U(R) is the group of units of R and V(R) is the subgroup generated by {(1+ab)(1+ba)−1|a,b∈R with 1+ab∈U(R)}.
Huanyin Chen, Fu-an Li
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Primitive free cubics with specified norm and trace [PDF]
, 2003 The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitrary specified values of a (≠0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby
Sophie Huczynska +5 more
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The physical capacity of different professional groups of Brazilian Amazonians, studied by cycle ergometry () [PDF]
Acta Amazonica, 1978 A study of the physical performance of seven different professional groups living in the Brazilian Amazon was performed. The level of the physical capacity was measured using the ergometric bicycle.
F. L. Vichi, J. M. Souza
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Primitive elements in free groups [PDF]
Proceedings of the American Mathematical Society, 1989 Let F n {F_n}
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Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
IEEE Access, 2019 A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
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On abelian quotients of primitive groups [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that if G G is a primitive permutation group on a set of size
Aschbacher, Michael +1 more
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