Results 11 to 20 of about 167,576,007 (234)

$p$-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
core   +5 more sources

C-Ideals of Lie Algebras. [PDF]

, 2009
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of L contained in B.
Towers, David A.
core   +4 more sources

The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]

, 2015
One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
core   +2 more sources

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
core   +1 more source

Connected components of the category of elementary abelian $p$-subgroups. [PDF]

, 2008
We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
core   +5 more sources

Applications of Lie methods to computations with polycyclic groups [PDF]

, 2008
In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
core   +2 more sources

The index complex of a maximal subalgebra of a Lie algebra. [PDF]

, 2011
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A.
core   +5 more sources

Complements of intervals and prefrattini subalgebras of solvable Lie algebras. [PDF]

, 2013
In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gasch¨utz. The approach follows that of P. Hauck and H.
Towers, David A.
core   +4 more sources

Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
doaj   +1 more source

Non-invertible symmetries and higher representation theory II

SciPost Physics
In this paper we continue our investigation of the global categorical symmetries that arise when gauging finite higher groups and their higher subgroups with discrete torsion.
Thomas Bartsch, Mathew Bullimore, Andrea E. V. Ferrari, Jamie Pearson
doaj   +1 more source