Results 11 to 20 of about 431 (150)

Outer automorphisms of hypercentral p-groups [PDF]

Glasgow Mathematical Journal, 1995
In his celebrated paper [3] Gaschiitz proved that any finite non-cyclic p-group always admits non-inner automorphisms of order a power of p. In particular this implies that, if G is a finite nilpotent group of order bigger than 2, then Out (G) = Aut(G)/Inn(G) =≠1.
Orazio Puglisi
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The rational homology of the outer automorphism group of $F_7$

, 2015
4 pages text, computer code.
Laurent Bartholdi
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Outer automorphisms of ordered permutation groups [PDF]

Proceedings of the Edinburgh Mathematical Society, 1975
A well-known fact is that every automorphism of the symmetric group on a set must be inner (whether the set is finite or infinite) unless the set has exactly six elements (4, § 13). A long-standing conjecture concerns the analogue of this fact for the group A(S) of all order-preserving permutations of a totally ordered set S.
W. Charles Holland
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A note on separability in outer automorphism groups

Proceedings of the Edinburgh Mathematical Society
Abstract We give a criterion for separability of subgroups of certain outer automorphism groups. This answers questions of Hagen and Sisto, by strengthening and generalizing a result of theirs on mapping class groups.
Francesco Fournier-Facio
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On the Outer Automorphism Groups of Triangular Alternation Limit Algebras

Journal of Functional Analysis, 1993
Let $A$ denote the alternation limit algebra, studied by Hopenwasser and Power, and by Poon, which is the closed direct limit of upper triangular matrix algebras determined by refinement embeddings of multiplicity $r_k$ and standard embeddings of multiplicity $s_k$.
S. C. Power
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On the residual finiteness of outer automorphisms of relatively hyperbolic groups

Journal of Pure and Applied Algebra, 2006
We show that every virtually torsion-free subgroup of the outer automorphism group of a conjugacy separable hyperbolic group is residually finite. As a result, we are able to prove that the group of outer automorphisms of every finitely generated Fuchsian group and of every free-by-finite group is resudually finite.
V. Metaftsis, Mihalis Sykiotis
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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
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Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation

Physical Sciences Forum, 2023
Two equations whose variables take values in the Pauli algebra of complex quaternions are shown to be equivalent to the standard Dirac equation and its Hermitian conjugate taken together.
Avraham Nofech
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2-Group symmetries in class S

SciPost Physics, 2022
2-group symmetries are generalized symmetries that arise when 1-form and 0-form symmetries mix with each other. We uncover the existence of a class of 2-group symmetries in general 4d N=2 theories of Class S that can be constructed by compactifying 6d
Lakshya Bhardwaj
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Weights in a Benson-Solomon block

Forum of Mathematics, Sigma, 2023
To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
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