Results 81 to 90 of about 9,040,817 (231)
The divisibility conjecture for automorphism groups of finite p-groups [PDF]
Advances in Group Theory and Applications, 2020 Jill Dietz
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Limit trees for free group automorphisms: universality
Forum of Mathematics, SigmaTo any free group automorphism, we associate a universal (cone of) limit tree(s) with three defining properties: first, the tree has a minimal isometric action of the free group with trivial arc stabilizers; second, there is a unique expanding dilation ...
Jean Pierre Mutanguha
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Approximate Itai–Zehavi Conjecture for Random Graphs
Random Structures &Algorithms, Volume 69, Issue 2, September 2026.ABSTRACT A famous conjecture by Itai and Zehavi states that, for every d$$ d $$‐vertex‐connected graph G$$ G $$ and every vertex r$$ r $$ in G$$ G $$, there are d$$ d $$ spanning trees of G$$ G $$ such that, for every vertex v$$ v $$ in G∖{r}$$ G\setminus \left\{r\right\} $$, the paths between r$$ r $$ and v$$ v $$ in different trees are internally ...
Lawrence Hollom +4 more
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Representations of the Automorphism Group of a Right-Angled Coxeter Group [PDF]
, 2019 In 2009 Grunewald and Lubotzky published a paper in which they defined a family of linear representations of the automorphism group of a free group. In this dissertation, we will use their ideas to construct a family of linear representation of the ...
Morgan, Thomas
core
Groups with finitely many conjugacy classes and their automorphisms
, 2009 We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements.
Minasyan, Ashot
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Automorphisms and coverings of Klein surfaces
, 1977 In this thesis the theory of automorphisms and coverings of compact Klein surfaces is discussed by considering a Klein surface as the orbit space of a non-Euclidean crystallographic group.
Hall, Wendy
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Acylindrical visual splittings and the Tits alternative for Artin groups
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
William D. Cohen
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ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS [PDF]
Journal of Algebraic Systems, 2019 Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively.
Rasoul Soleimani
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The probability of generating finite and profinite groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
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Cauchy identities for staircase matrices
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin +2 more
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