Results 81 to 90 of about 16,241 (233)

Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]

Advances in Group Theory and Applications
We give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
doaj   +1 more source

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
wiley   +1 more source

On tensor squares of irreducible representations of almost simple groups. I

Моделирование и анализ информационных систем, 2011
Almost simple SM_m-groups are considered. A group G is called a SM_m-group if the tensor square of any irreducible representation is decomposed into the sum of its irreducible representations with multiplicities not greater than m.
S. V. Polyakov
doaj  

On Marginal Automorphisms of Free Nilpotent Lie Algebras

Journal of Mathematics, 2020
Let L be the free nilpotent Lie algebra of finite rank over a field of characteristic zero. We define the concepts of marginal ideals and marginal automorphisms of L, and we give some results on marginal automorphisms.
Özge Öztekin
doaj   +1 more source

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
wiley   +1 more source

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, Anton Khoroshkin, Ievgen Makedonskyi   +2 more
wiley   +1 more source

Automorphisms of Spacetime Manifold with Torsion [PDF]

, 2016
summary:In this paper we prove that the maximum dimension of the Lie group of automorphisms of the Riemann–Cartan 4-dimensional manifold does not exceed 8, and if the Cartan connection is skew-symmetric or semisymmetric, the maximum dimension is equal to
Pan’Zhenskii, Vladimir Ivanovich, Surina, Olga Petrovna   +1 more
core   +1 more source

Revealed automorphisms [PDF]

, 1991
summary:We study automorphisms in the alternative set theory. We prove that fully revealed automorphisms are not closed under composition. We also construct some special automorphisms.
Sochor, Antonín, Sgall, Jiří
core   +1 more source

Automorphic Decompositions of Graphs

Graphs and Combinatorics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beeler, Robert A., Jamison, Robert E.
openaire   +4 more sources