Results 121 to 130 of about 166,013,378 (225)
Cyclic permutable subgroups of finite groups [PDF]
, 2001 The authors describe the structure of the normal closure of a cyclic permutable subgroup of odd order in a finite ...
Cossey, John, Stonehewer, Stewart E.
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Automorphisms of free braided nonassociative algebras of rank 2
Қарағанды университетінің хабаршысы. Математика сериясыWe prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
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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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Large automorphism groups of bordered tori
We study large groups of automorphisms of compact orientable bordered Klein surfaces of topological genus one. Here, large means that the order of the group is greater than or equal to 4(g−1), where g ≥ 2 is the algebraic genus of the surface.
Bujalance, E. +2 more
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +2 more
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On base sizes for actions of finite classical groups
, 2007 Let G be a finite almost simple classical group and let ? be a faithful primitive non-standard G-set. A base for G is a subset B C_ ? whose pointwise stabilizer is trivial; we write b(G) for the minimal size of a base for G.
Timothy C. Burness +2 more
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Dimension invariants of outer automorphism groups
, 2017 The geometric dimension for proper actions (gd) under bar (G) of a group G is the minimal dimension of a classifying space for proper actions (gd) under barG.
Degrijse, Dieter, Souto, Juan
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ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS
Journal of Commutative AlgebraAssuming Gödel's axiom of constructibility $\bold V=\bold L,$ we present a characterization of those groups $L$ for which there exist arbitrarily large groups $H$ such that $aut(H) \cong L$. In particular, we show that it suffices to have one such group $H$ such that the size of its center is bigger than $ 2^{|L |+\aleph_0}$.
Asgharzadeh, Mohsen +3 more
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On the order of automorphism groups of Klein surfaces
, 1985 A problem of special interest in the study of automorphism groups of surfaces are the bounds of the orders of the groups as a function of the genus of the surface. May has proved that a Klein surface with boundary of algebraic genus p has at most 12(p–1)
Etayo Gordejuela, José Javier
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