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In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration. We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simple groups.

Infinitesimal fixed points in modules with good filtration.

Wilberd van der Kallen (1993)

Mathematische Zeitschrift

Intertwining numbers; the $n$ -rowed shapes

Hyoung J. Ko, Kyoung J. Lee (2007)

Czechoslovak Mathematical Journal

A fairly old problem in modular representation theory is to determine the vanishing behavior of the $H o m$ groups and higher $E x t$ groups of Weyl modules and to compute the dimension of the $ℤ / (p)$ -vector space ${H o m}_{{\bar{A}}_{r}} ({\bar{K}}_{λ}, {\bar{K}}_{μ})$ for any partitions $λ$ , $μ$ of $r$ , which is the intertwining number. K. Akin, D. A. Buchsbaum, and D. Flores solved this problem in the cases of partitions of length two and three. In this paper, we describe the vanishing behavior of the groups ${H o m}_{{\bar{A}}_{r}} ({\bar{K}}_{λ}, {\bar{K}}_{μ})$ and provide a new formula for the intertwining number for any...

Isomorphic Chevalley groups over integral domains

Yu Chen (1994)

Rendiconti del Seminario Matematico della Università di Padova

$J$ -invariant of linear algebraic groups

Viktor Petrov, Nikita Semenov, Kirill Zainoulline (2008)

Annales scientifiques de l'École Normale Supérieure

Let $G$ be a semisimple linear algebraic group of inner type over a field $F$ , and let $X$ be a projective homogeneous $G$ -variety such that $G$ splits over the function field of $X$ . We introduce the $J$ -invariant of $G$ which characterizes the motivic behavior of $X$ , and generalizes the $J$ -invariant defined by A. Vishik in the context of quadratic forms. We use this $J$ -invariant to provide motivic decompositions of all generically split projective homogeneous $G$ -varieties, e.g. Severi-Brauer varieties, Pfister quadrics,...

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Displaying 61 – 80 of 257

Groups generated by k-root subgroups.

Groups generated by k-transvections.

Gruppi che sono unione di un numero finito di laterali doppi

Homomorphisms of Unitary Groups.

Imprimitive Maximal Subgroups of the Orthogonal, Special Orthogonal, Unitary and Special Unitary Groups.

Induced Modules and Extensions of Representations.

Infinite dimensional general linear groups have finite width.

Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.

Infinitesimal fixed points in modules with good filtration.

Intertwining numbers; the $n$ -rowed shapes

Isomorphic Chevalley groups over integral domains

$J$ -invariant of linear algebraic groups

Jantzen's Filtrations of Weyl Modules.

K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras

La correspondance de McKay

Linear preserver problems and algebraic groups.

Maximal indexes of Tits algebras.

MOP -- algorithmic modality analysis for parabolic actions.

Moufang planes and the groups EK6 and SL2(K), K a Cayley division algebra.

Nilpotency in Classical Groups over a Field of Characteristic 2.

Currently displaying 61 – 80 of 257