Results 11 to 20 of about 37,262 (107)
Finite cyclic group of p-power order and its compatibility conditions
Data Analytics and Applied Mathematics, 2023 Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour.
Fatin Hanani Hasan +3 more
doaj +1 more source
Mumford curves and Mumford groups in positive characteristic [PDF]
, 2018 A Mumford group is a discontinuous subgroup $\Gamma$ of PGL(2,K), where K denotes a non archimedean valued field, such that the quotient by $\Gamma$ is a curve of genus 0. As abstract group $\Gamma$ is an amalgam of a finite tree of finite groups.
van der Put, Marius, Voskuil, Harm H.
core +2 more sources
Countable state Markov shifts with automorphism groups being a direct sum [PDF]
, 2005 In this short note we prove the existence of a class of transitive, locally compact, countable state Markov shifts whose automorphism groups split into a direct sum of two groups; one being the infinite cyclic group generated by the shift map, the other ...
Schraudner, Michael H.
core +1 more source
Compact presentability of tree almost automorphism groups [PDF]
, 2016 We establish compact presentability, i.e. the locally compact version of finite presentability, for an infinite family of tree almost automorphism groups.
Boudec, Adrien Le
core +4 more sources
Inverse monoids of partial graph automorphisms
, 2020 A partial automorphism of a finite graph is an isomorphism between its vertex induced subgraphs. The set of all partial automorphisms of a given finite graph forms an inverse monoid under composition (of partial maps). We describe the algebraic structure
Jajcay, Robert +3 more
core +1 more source
Disintegration of positive isometric group representations on $\mathrm{L}^p$-spaces [PDF]
, 2017 Let $G$ be a Polish locally compact group acting on a Polish space $X$ with a $G$-invariant probability measure $\mu$. We factorize the integral with respect to $\mu$ in terms of the integrals with respect to the ergodic measures on $X$, and show that ...
de Jeu, Marcel, Rozendaal, Jan
core +3 more sources
Normal subgroups of mapping class groups and the metaconjecture of Ivanov [PDF]
, 2018 We prove that if a normal subgroup of the extended mapping class group of a closed surface has an element of sufficiently small support then its automorphism group and abstract commensurator group are both isomorphic to the extended mapping class group ...
Brendle, Tara, Margalit, Dan
core +2 more sources
Frobenius groups of automorphisms and their fixed points [PDF]
, 2010 Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V. +10 more
core +2 more sources
Reconstructing Structures with the Strong Small Index Property up to Bi-Definability
, 2018 Let $\mathbf{K}$ be the class of countable structures $M$ with the strong small index property and locally finite algebraicity, and $\mathbf{K}_*$ the class of $M \in \mathbf{K}$ such that $acl_M(\{ a \}) = \{ a \}$ for every $a \in M$.
Paolini, Gianluca, Shelah, Saharon
core +1 more source
Abstract commensurators of lattices in Lie groups
, 2015 Let Gamma be a lattice in a simply-connected solvable Lie group. We construct a Q-defined algebraic group A such that the abstract commensurator of Gamma is isomorphic to A(Q) and Aut(Gamma) is commensurable with A(Z).
Studenmund, Daniel
core +1 more source