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Algebraic properties of decorated splitting obstruction groups

A. Cavicchioli, Y. V. Muranov, D. Repovš (2001)

Bollettino dell'Unione Matematica Italiana

In questo articolo si riassumono le definizioni e le principali proprietà dei gruppi di ostruzione con decorazione di tipo LS e LP. Si stabiliscono nuove relazioni fra questi gruppi e si descrivono le proprietà delle mappe naturali fra differenti gruppi con decorazione. Si costruiscono varie successioni spettrali, contenenti questi gruppi con decorazione, e si studiano la loro connessione con le successioni spettrali in $K$ -teoria per certe estensioni quadratiche di antistrutture. Infine, si introduce...

$K$ - and $L$ -theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by $ℤ / 4$ .

Lück, Wolfgang (2005)

Geometry & Topology

Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras

Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar (2024)

Czechoslovak Mathematical Journal

This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras. The...

L-theory and dihedral homology.

Guillermo Cortinas (1993)

Mathematica Scandinavica

On the domain of the assembly map in algebraic $K$ -theory.

Bartels, Arthur C. (2003)

Algebraic & Geometric Topology

Structure of unitary groups over finite group rings and its application

Jizhu Nan, Yufang Qin (2010)

Czechoslovak Mathematical Journal

In this paper, we determine all the normal forms of Hermitian matrices over finite group rings $R = F_{q^{2}} G$ , where $q = p^{α}$ , $G$ is a commutative $p$ -group with order $p^{β}$ . Furthermore, using the normal forms of Hermitian matrices, we study the structure of unitary group over $R$ through investigating its BN-pair and order. As an application, we construct a Cartesian authentication code and compute its size parameters.

The surgery obstruction groups of the infinite dihedral group.

Connolly, Francis X., Davis, James F. (2004)