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Displaying 141 – 160 of 994

Coalgebra and algebra structure on representations of general complex linear groups

S. Balcerzyk (1987)

Colloquium Mathematicae

Cohomology of groups, Abelian Sylow subgroups and splendid equivalences.

Zimmermann, Alexander (2000)

AMA. Algebra Montpellier Announcements [electronic only]

Cohomology of modules in the principal block of a finite group.

Benson, D.J. (1995)

The New York Journal of Mathematics [electronic only]

Coleman automorphisms of finite groups with a self-centralizing normal subgroup

Jinke Hai (2020)

Czechoslovak Mathematical Journal

Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G} (N) \leq N$ . It is shown that under some conditions, Coleman automorphisms of $G$ are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

Combinatorial Laplacian of the matching complex.

Dong, Xun, Wachs, Michelle L. (2002)

The Electronic Journal of Combinatorics [electronic only]

Combinatorial operators for Kronecker powers of representations of $𝔖_{n}$ .

Goupil, Alain, Chauve, Cedric (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

Comments on gentleness of endomorphism algebras.

Zimmermann, Alexander (2003)

AMA. Algebra Montpellier Announcements [electronic only]

Commutative group algebras of highly torsion-complete abelian $p$ -groups

Peter Vassilev Danchev (2003)

Commentationes Mathematicae Universitatis Carolinae

A new class of abelian $p$ -groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ. Carolinae (2002).

Commutative modular group algebras of $p$ -mixed and $p$ -splitting abelian $Σ$ -groups

Peter Vassilev Danchev (2002)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a $p$ -mixed abelian group and $R$ is a commutative perfect integral domain of $char R = p > 0$ . Then, the first main result is that the group of all normalized invertible elements $V (R G)$ is a $Σ$ -group if and only if $G$ is a $Σ$ -group. In particular, the second central result is that if $G$ is a $Σ$ -group, the $R$ -algebras isomorphism $R A ≅ R G$ between the group algebras $R A$ and $R G$ for an arbitrary but fixed group $A$ implies $A$ is a $p$ -mixed abelian $Σ$ -group and even more that the high subgroups of $A$ and $G$ are isomorphic, namely, $ℋ_{A} ≅ ℋ_{G}$ . Besides,...