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Displaying 41 – 60 of 78

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,...