Results 61 to 70 of about 83,911 (252)

On stabilizers in finite permutation groups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley   +1 more source

Automorphisms of monomial groups [PDF]

open access: yesPacific Journal of Mathematics, 1961
Dissertation (Ph. D.)--University of Kansas, Mathematics, 1955.
openaire   +2 more sources

A Note on Eigenvalues and Asymmetric Graphs

open access: yesAxioms, 2023
This note is intended as a contribution to the study of quantitative measures of graph complexity that use entropy measures based on symmetry. Determining orbit sizes of graph automorphism groups is a key part of such studies. Here we focus on an extreme
Abdullah Lotfi   +2 more
doaj   +1 more source

The automorphism group of accessible groups

open access: yes, 2010
In this article, we study the outer automorphism group of a group G decomposed as a finite graph of group with finite edge groups and finitely generated vertex groups with at most one end.
Carette, Mathieu
core   +1 more source

On contact 3‐manifolds that admit a nonfree toric action

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley   +1 more source

Semicontinuity of the Automorphism Groups of Domains with Rough Boundary

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables. We show that semicontinuity fails for domains in , , with Lipschitz boundary, but it holds for domains in with ...
Steven G. Krantz
doaj   +1 more source

On automorphism groups of affine surfaces

open access: yes, 2016
This is a survey on the automorphism groups in various classes of affine algebraic surfaces and the algebraic group actions on such surfaces. Being infinite-dimensional, these automorphism groups share some important features of algebraic groups.
Kovalenko, Sergei   +2 more
core   +3 more sources

Module structure of Weyl algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Automorphisms of Group Extensions [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
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)
openaire   +1 more source

Coxeter's enumeration of Coxeter groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

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