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Displaying 581 – 600 of 995

Pointed Groups and Construction of Characters.

Lluis Puig (1981)

Mathematische Zeitschrift

Polynomial identities of nil algebras of bounded index

Francesca Benanti, Vesselin Drensky (1999)

Bollettino dell'Unione Matematica Italiana

Lo scopo di questo lavoro è di dare una nuova descrizione del $T$ -ideale generato dalla nil-identità $x^{n} = 0$ come immagine omeomorfa della $n$ -esima potenza tensoriale simmetrica dell'algebra associativa libera $K 〈X〉$ su un campo $K$ di caratteristica $0$ . Come applicazione calcoliamo il carattere delle conseguenze multilineari di grado $\leq n + 2$ dell'identità $x^{n} = 0$ .

Polynomial Maps on Groups. II.

Inder Bir S. Passi (1973/1974)

Mathematische Zeitschrift

Prime Characters and Factorizations of Quasi-Primitive Characters.

Alexandre Turull, Pamela A. Ferguson (1985)

Mathematische Zeitschrift

Primitive Characters, Normal Subgroups, and M-Groups.

Martin Isaacs (1981)

Mathematische Zeitschrift

Primitive characters of subgroups of M-groups.

Gabriel Navarro (1995)

Mathematische Zeitschrift

Primitive idempotents and the socle in group rings of periodic abelian groups

J. S. Richardson (1976)

Compositio Mathematica

Primitive Idempotents of the Group Algebra CSL(3,q).

Erhan Güzel (1992)

Mathematica Scandinavica

Principal blocks and $p$ -radical groups

Xiaohan Hu, Jiwen Zeng (2016)

Czechoslovak Mathematical Journal

Let $G$ be a finite group and $k$ a field of characteristic $p > 0$ . In this paper, we obtain several equivalent conditions to determine whether the principal block $B_{0}$ of a finite $p$ -solvable group $G$ is $p$ -radical, which means that $B_{0}$ has the property that $e_{0} {(k_{P})}^{G}$ is semisimple as a $k G$ -module, where $P$ is a Sylow $p$ -subgroup of $G$ , $k_{P}$ is the trivial $k P$ -module, ${(k_{P})}^{G}$ is the induced module, and $e_{0}$ is the block idempotent of $B_{0}$ . We also give the complete classification of a finite $p$ -solvable group $G$ which has not more than three...

Product decompositions of quasirandom groups and a Jordan type theorem

Nikolay Nikolov, László Pyber (2011)

Journal of the European Mathematical Society

We first note that a result of Gowers on product-free sets in groups has an unexpected consequence: If $k$ is the minimal degree of a representation of the finite group $G$ , then for every subset $B$ of $G$ with $| B | > | G | / k^{1 / 3}$ we have $B^{3} = G$ . We use this to obtain improved versions of recent deep theorems of Helfgott and of Shalev concerning product decompositions of finite simple groups, with much simpler proofs. On the other hand, we prove a version of Jordan’s theorem which implies that if $k \geq 2$ , then $G$ has a proper subgroup...