Results 21 to 30 of about 198 (45)

Irreducible characters of even degree and normal Sylow $2$-subgroups

, 2016
The classical It\^o-Michler theorem on character degrees of finite groups asserts that if the degree of every complex irreducible character of a finite group $G$ is coprime to a given prime $p$, then $G$ has a normal Sylow $p$-subgroup.
Hung, Nguyen Ngoc, Tiep, Pham Huu
core   +1 more source

Emergence of Riemannian geometry and the massive graviton

, 2013
We overview a new mechanism whereby classical Riemannian geometry emerges out of the differential structure on quantum spacetime, as extension data for the classical algebra of differential forms.
Majid, Shahn
core   +2 more sources

On divisibility graph for simple Zassenhaus groups [PDF]

, 2014
The divisibility graph $D(G)$ for a finite group $G$ is a graph with vertex set $cs~(G)\setminus\{1\}$ where $cs~(G)$ is the set of conjugacy class sizes of $G$. Two vertices $a$ and $b$ are adjacent whenever $a$ divides $b$ or $b$ divides $a$.
A. Abdolghafourian, A. Iranmanesh, Mohammad   +2 more
core  

Reductions to simple fusion systems

, 2016
We prove that if $\mathcal{E}\trianglelefteq\mathcal{F}$ are saturated fusion systems over $p$-groups $T\trianglelefteq S$, such that $C_S(\mathcal{E})\le T$, and either $Aut_{\mathcal{F}}(T)/Aut_{\mathcal{E}}(T)$ or $Out(\mathcal{E})$ is $p$-solvable ...
Oliver, Bob
core   +2 more sources

On Alternating and Symmetric Groups Which Are Quasi OD-Characterizable

, 2017
Let $\Gamma(G)$ be the prime graph associated with a finite group $G$ and $D(G)$ be the degree pattern of $G$. A finite group $G$ is said to be $k$-fold OD-characterizable if there exist exactly $k$ non-isomorphic groups $H$ such that $|H|=|G|$ and $D(H)=
Moghaddamfar, Ali Reza
core   +1 more source

Mathematics discovered, invented, and inherited [PDF]

, 2013
The classical platonist/formalist dilemma in philosophy of mathematics can be expressed in lay terms as a deceptively naive question: is new mathematics discovered or invented?
Borovik, Alexandre
core  

Some Quantitative Characterizations of Certain Symplectic Groups [PDF]

, 2013
Given a finite group $G$, denote by ${\rm D}(G)$ the degree pattern of $G$ and by ${\rm OC}(G)$ the set of all order components of $G$. Denote by $h_{{\rm OD}}(G)$ (resp.
Akbari, M., Moghaddamfar, A. R.
core  

A 2-local characterization of M(12) [PDF]

, 2003
A characterization of the Mathieu group M(12) is established; the characterization is used by Aschbacher and Smith in their classification of the quasithin finite simple ...
Aschbacher, Michael
core  

A characterization of some alternating groups A p+8 of degree p + 8 by OD. [PDF]

Springerplus, 2016
Liu S, Zhang Z.
europepmc   +1 more source

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The one-prime hypothesis on the co-degrees of irreducible characters

Communications in Algebra, 2021
Neda Ahanjideh
exaly