Results 41 to 50 of about 104,157 (229)
The Automorphism Group of Hall's Universal Group
, 2017 We study the automorphism group of Hall's universal locally finite group $H$. We show that in $Aut(H)$ every subgroup of index $< 2^\omega$ lies between the pointwise and the setwise stabilizer of a unique finite subgroup $A$ of $H$, and use this to ...
Paolini, Gianluca, Shelah, Saharon
core +1 more source
Automorphism group of certain power graphs of finite groups
Electronic Journal of Graph Theory and Applications, 2017 The power graph $\mathcal{P}(G)$ of a group $G$ is the graphwith group elements as vertex set and two elements areadjacent if one is a power of the other. The aim of this paper is to compute the automorphism group of the power graph of several well-known
Ali Reza Ashrafi +2 more
doaj +1 more source
Extraspecially Irreducible Groups [PDF]
Advances in Group Theory and Applications, 2016 Given distinct prime numbers $q$ and $r$, we construct a semidirect product $CR$ with $R\vartriangleleft CR$, where $C$ is a cyclic group of order $q$, and $R$ is an extraspecial $r$-group, such that $C$ centralizes $R'$, and $R$ is minimal among the ...
R. Dark, A.D. Feldman, M.D. Pérez-Ramos
doaj +1 more source
Monotonic functions in Bianchi models: Why they exist and how to find them
, 2009 All rigorous and detailed dynamical results in Bianchi cosmology rest upon the existence of a hierarchical structure of conserved quantities and monotonic functions.
Ashtekar A +20 more
core +1 more source
The automorphism group of accessible groups [PDF]
Journal of the London Mathematical Society, 2011 18 pages, 3 figures.
openaire +3 more sources
A Kazhdan group with an infinite outer automorphism group [PDF]
Surveys in Mathematics and its Applications, 2012 D. Kazhdan has introduced in 1967 the Property (T) for local compact groups (see [D. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Funct. Anal. Appl. 1 (1967)]). In this article we prove that for n ≥ 3 and m
Traian Preda
doaj
Commuting Pairs in Quasigroups
Journal of Combinatorial Designs, EarlyView.ABSTRACT A quasigroup is a pair (Q,∗) $(Q,\ast )$, where Q $Q$ is a nonempty set and ∗ $\ast $ is a binary operation on Q $Q$ such that for every (a,b)∈Q2 $(a,b)\in {Q}^{2}$, there exists a unique (x,y)∈Q2 $(x,y)\in {Q}^{2}$ such that a∗x=b=y∗a $a\ast x=b=y\ast a$. Let (Q,∗) $(Q,\ast )$ be a quasigroup. A pair (x,y)∈Q2 $(x,y)\in {Q}^{2}$ is a commuting
Jack Allsop, Ian M. Wanless
wiley +1 more source
Symmetric 2‐( 35 , 17 , 8 ) $(35,17,8)$ Designs With an Automorphism of Order 2
Journal of Combinatorial Designs, EarlyView.ABSTRACT The largest prime p $p$ that can be the order of an automorphism of a 2‐( 35 , 17 , 8 ) $(35,17,8)$ design is p = 17 $p=17$, and all 2‐( 35 , 17 , 8 ) $(35,17,8)$ designs with an automorphism of order 17 were classified by Tonchev. The symmetric 2‐( 35 , 17 , 8 ) $(35,17,8)$ designs with automorphisms of an odd prime order p < 17 $p\lt 17 ...
Sanja Rukavina, Vladimir D. Tonchev
wiley +1 more source
Asymptotics of Symmetry in Matroids [PDF]
, 2016 We prove that asymptotically almost all matroids have a trivial automorphism group, or an automorphism group generated by a single transposition. Additionally, we show that asymptotically almost all sparse paving matroids have a trivial automorphism ...
Pendavingh, Rudi, van der Pol, Jorn
core +2 more sources
, 2019 We define biquandle structures on a given quandle, and show that any biquandle is given by some biquandle structure on its underlying quandle. By determining when two biquandle structures yield isomorphic biquandles, we obtain a relationship between the ...
Horvat, Eva
core +2 more sources