Results 31 to 40 of about 176,865 (291)
Elementary abelian operator groups [PDF]
Manuscripta Mathematica, 1994 Let \(A\) be an elementary abelian \(p\)-group which acts on a solvable \(p'\)- group \(G\). If \(\phi \in A\), \(C_ G(\phi)\) denotes the fixed point subgroup of \(\phi\). Previous results of \textit{A. Turull} [J. Algebra 86, 555-566 (1984; Zbl 0526.20017)] and of \textit{F. Gross} [Bull. Aust. Math. Soc.
openaire +2 more sources
How SU(2)$_4$ Anyons are Z$_3$ Parafermions
SciPost Physics, 2017 We consider the braid group representation which describes the non-abelian braiding statistics of the spin $1/2$ particle world lines of an SU(2)$_4$ Chern-Simons theory.
Richard Fern, Johannes Kombe, Steven H. Simon
doaj +1 more source
A remark on elementary abelian groups [PDF]
Bulletin of the Australian Mathematical Society, 1977 Dr M.F. Newman has asked whether in the absence of the Axiom of Choice it is possible to have two non-isomorphic elementary abelian groups of the same (finite) exponent and of the same (infinite) cardinality. By means of an example, I show that this is in fact possible, if the exponent is at least five; I do not know the answer in the remaining two ...
openaire +2 more sources
Modular invariants detecting the cohomology of BF_4 at the prime 3 [PDF]
, 2007 Attributed to J F Adams is the conjecture that, at odd primes, the mod-p cohomology ring of the classifying space of a connected compact Lie group is detected by its elementary abelian p-subgroups.
Broto, Carles
core +3 more sources
On the structure of finite groups associated to regular non-centralizer graphs
AIMS Mathematics, 2023 The non-centralizer graph of a finite group $ G $ is the simple graph $ \Upsilon_G $ whose vertices are the elements of $ G $ with two vertices are adjacent if their centralizers are distinct.
Tariq A. Alraqad , Hicham Saber
doaj +1 more source
CI-Property for Decomposable Schur Rings over an Abelian Group [PDF]
Algebra Colloquium, 2018 A Schur ring over a finite group is said to be decomposable if it is the generalized wreath product of Schur rings over smaller groups. In this paper we establish a sufficient condition for a decomposable Schur ring over the direct product of elementary ...
I. Kov'acs, G. Ryabov
semanticscholar +1 more source
Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
doaj +1 more source
A family of permutation groups with exponentially many nonconjugated regular elementary abelian subgroups [PDF]
St. Petersburg Mathematical Journal, 2016 Given a prime $p$, we construct a permutation group containing at least $p^{p-2}$ non-conjugated regular elementary abelian subgroups of order $p^3$.
S. Evdokimov +2 more
semanticscholar +1 more source
Elementary abelian operator groups [PDF]
Bulletin of the Australian Mathematical Society, 1972 Suppose G is a finite solvable p′-group admitting the elementary abelian p–group A as an operator group. if n = max{nilpotent length of CG(X)| X ∈ A#} and |A| ≥ pn+2, then the nilpotent length of G is n.
openaire +2 more sources
Rings associated to coverings of finite p-groups [PDF]
, 2016 In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
core +1 more source