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Spectral deformations of automorphic functions over graphs of groups.

Isaac Efrat (1990)

Inventiones mathematicae

Spezielle Algebren und transitive Operationen.

Franz Pauer (1978)

Mathematische Zeitschrift

Stable cohomology of alternating groups

Fedor Bogomolov, Christian Böhning (2014)

Open Mathematics

We determine the stable cohomology groups ( $H_{S}^{i} (𝔄_{n}, ℤ / p ℤ)$ of the alternating groups $𝔄_{n}$ for all integers n and i, and all odd primes p.

Statistiques sur le groupe symétrique

Jean-Louis Nicolas (1971/1972)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Strong endomorphisms of TT-connected automata

G. Thierrin, A. Paradis (1980)

Semigroup forum

Strongly bounded automorphism groups

A. Ivanov (2006)

Colloquium Mathematicae

A group G is strongly bounded if every isometric action of G on a metric space has bounded orbits. We show that the automorphism groups of typical countable structures with the small index property are strongly bounded. In particular we show that this is the case when G is the automorphism group of the countable universal locally finite extension of a periodic abelian group.

Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions

Murray R. Bremner, Sara Madariaga, Luiz A. Peresi (2016)

Commentationes Mathematicae Universitatis Carolinae

This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras. In §1, we present a detailed review (with complete proofs) of the classical structure theory of the group algebra $𝔽 S_{n}$ of the symmetric group $S_{n}$ over a field $𝔽$ of characteristic 0 (or $p > n$ ). The goal is to obtain a constructive version of the isomorphism $ψ : ⨁_{λ} M_{d_{λ}} (𝔽) ⟶ 𝔽 S_{n}$ where $λ$ is a partition of $n$ and $d_{λ}$ counts the standard tableaux of shape $λ$ ....