Results 101 to 110 of about 12,736,939 (290)
Automorphisms of Coxeter groups [PDF]
16 pages, no figures. Submitted to Trans. Amer.
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(Random) Trees of Intermediate Volume Growth
ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
wiley +1 more source
Noninner automorphisms of finite p-groups leaving the center elementwise fixed [PDF]
A longstanding conjecture asserts that every finite nonabelian p-group admits a noninner automorphism of order p. Let G be a finite nonabelian p-group.
Alireza Abdollahi, S. Mohsen Ghoraishi
doaj
Automorphisms of monomial groups [PDF]
Dissertation (Ph. D.)--University of Kansas, Mathematics, 1955.
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ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
wiley +1 more source
The Automorphism Group of Non-Abelian Group of Order p^4
Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G) , of the automorphism group of G../files/site1/files/52/8 ...
Reza Orfi
doaj
Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
Automorphisms of Group Extensions [PDF]
If 1 G I> E X-4 I -> 1 is a group extension, with t an inclusion, any automorphism T of E which takes G onto itself induces automorphisms T on G and a on 11. However, for a pair (a, T) of automorphism of 11 and G, there may not be an automorphism of E inducing the pair. Let Xx: H -IOut G be the homomorphism induced by the given extension. A pair (a, T)
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Automorphism Group of the Derangement Graph
In this paper, we prove that the full automorphism group of the derangement graph $\Gamma_n$ ($n\geq3$) is equal to $(R(S_n)\rtimes\hbox{Inn} (S_n))\rtimes Z_2$, where $R(S_n)$ and $\hbox{Inn} (S_n)$ are the right regular representation and the inner ...
Yun-Ping Deng, Xiaodong Zhang
semanticscholar +1 more source
On autocentral kernel of groups [PDF]
Let $G$ be a group, where $\text{Aut}(G)$ denotes the full automorphisms group of $G$ and $L(G)$ represents the absolute center of $G.$ An automorphism $\alpha \in \text{Aut}(G)$ is called an autocentral automorphism if $g^{-1}\alpha(g) \in L(G ...
Shafigh Bahri +2 more
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