Results 11 to 20 of about 175,156,885 (130)

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
core   +4 more sources

On groups of automorphisms of nilpotent $p$-groups of finite rank [PDF]

, 2020
We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G.
Liu, Heguo, Xu, Tao
core   +1 more source

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
core   +1 more source

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
core   +1 more source

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.
Jonathan McDougall-Bagnall, McDougall-Bagnall, Jonathan M., Martyn Quick, Quick, Martyn, Quick, Martyn; id_orcid   +4 more
core   +1 more source

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
core   +3 more sources

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
core   +1 more source

Contributions to automorphisms of affine spaces [PDF]

, 2013
We study aspects of the group G_n of polynomial automorphisms of the affine space A^n, the so-called affine Cremona group. Shafarevich introduced on G_n the structure of an ind-variety, an infinite-dimensional analogon to a (classical) variety.
Stampfli, Immanuel
core   +1 more source

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
core   +1 more source

Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays

Journal of Combinatorial Designs, EarlyView.
ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley   +1 more source