All word pairs over two free generators that make every group a birack or biquandle are classified, and new union, product, holomorph, and covering constructions for biquandles are introduced with their automorphism groups.
Multi-switches and representations of braid groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In the paper, we introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach on how to construct representations of (virtual) braid groups by automorphisms of algebraic systems. As a corollary, we introduce new representations of virtual braid groups which generalize several previously known representations.
fields
math.GR 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
General constructions of biquandles and their symmetries
All word pairs over two free generators that make every group a birack or biquandle are classified, and new union, product, holomorph, and covering constructions for biquandles are introduced with their automorphism groups.