Results 31 to 40 of about 16,107,577 (322)
Solving singular equations of length eight over torsion-free groups
It was demonstrated by Bibi and Edjvet in [1] that any equation with a length of at most seven over torsion-free group can be solvable. This corroborates Levin's [2] assertion that any equation over a torsion-free group is solvable. It is demonstrated in
Mairaj Bibi +3 more
doaj +1 more source
Solvable intransitive permutation groups with constant movement [PDF]
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei +2 more
doaj +1 more source
Hidden Translation and Translating Coset in Quantum Computing [PDF]
We give efficient quantum algorithms for the problems of Hidden Translation and Hidden Subgroup in a large class of non-abelian solvable groups including solvable groups of constant exponent and of constant length derived series.
Friedl, K. +4 more
core +5 more sources
On blocks of strongly p-solvable groups [PDF]
We prove that a block of a finite strongly p-solvable group G with defect group P is Morita equivalent to its corresponding block of NG(Z(J(P))) via a bimodule with endo-permutation ...
Kessar, R., Linckelmann, M.
core +2 more sources
Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]
The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops $L$ of dimension $\le 3$ which have an at most six-dimensional solvable indecomposable Lie group as their ...
Agota Figula, Ameer Al-Abayechi
doaj +1 more source
The A ‐theoretic Farrell–Jones conjecture for virtually solvable groups [PDF]
We prove the A ‐theoretic Farrell–Jones conjecture for virtually solvable groups. As a corollary, we obtain that the conjecture holds for S ‐arithmetic groups and lattices in almost connected Lie groups.
Daniel Kasprowski +3 more
semanticscholar +1 more source
Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups [PDF]
A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these nontrivial factorizations, and an almost simple group with such a factorization cannot ...
Caiheng Li, Binzhou Xia
semanticscholar +1 more source
Riesz transforms on solvable extensions of stratified groups [PDF]
Let $G = N \rtimes A$, where $N$ is a stratified group and $A = \mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous sub-Laplacians on $N$ and $A$ can be lifted to left-invariant operators on $G$ and their sum is a sub-Laplacian $\Delta$ on $G$.
Martini, Alessio, Vallarino, Maria
core +2 more sources
Finite BCI-groups are solvable [PDF]
Let $S$ be a subset of a finite group $G$. The bi-Cayley graph ${rm BCay}(G,S)$ of $G$ with respect to $S$ is an undirected graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(sx,2)}mid xin G, sin S}$. A bi-Cayley graph ${rm BCay}(G,S)$ is
Majid Arezoomand, Bijan Taeri
doaj
GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES
The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations.
Lauro Maycon Fernandes Ferreira +2 more
doaj +1 more source

