Results 11 to 20 of about 166,635,338 (114)

Finiteness properties of profinite groups [PDF]

, 2010
PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Colin David Reid, Reid, Colin David
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On structural aspects of finite simple groups of Lie type [PDF]

, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]

, 2010
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George, George Glauberman, Nadia Mazza   +3 more
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Graph products of groups [PDF]

, 1990
In the 1970's Baudisch introduced the idea of the semifree group, that is, a group in which the only relators are commutators of generators. Baudisch was mainly concerned with subgroup problems, employing length arguments on the elements of these groups.
Green, Elisabeth Ruth
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Groups with the basis property [PDF]

, 2011
"The first author is supported by an EPSRC Doctoral Training Grant"We study finite groups for which every minimal generating set has the same cardinality.
McDougall-Bagnall, Jonathan, Jonathan McDougall-Bagnall, McDougall-Bagnall, Jonathan M., Martyn Quick, Quick, Martyn   +4 more
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AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

, 2011
Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, · · · and theoretical physics, theoretical chemistry, etc..
MAO, LINFAN
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Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]

, 2013
We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with ...
Botelho, Fernanda, Jamison, James, Molnár, Lajos   +2 more
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On the number of prime order subgroups of finite groups [PDF]

, 2009
Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart, Scott, S.D., Burness, Tim C, Burness, T.C.   +3 more
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Normal automorphisms of relatively hyperbolic groups

, 2010
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin, Osin, Denis, Minasyan, Ashot, A. Minasyan   +3 more
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Automorphisms of real Lie algebras of dimension five or less [PDF]

, 2013
The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ, Hydon, PE, Fisher, DJ, Gray, Robert J., Hydon, Peter E., Peter E Hydon, David J Fisher, Robert J Gray, Fisher, David J.   +8 more
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