5 citations · 9 across the 10 of their papers we have counts for
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Associated groups of symmetric quandles
Toshiyuki Akita, Kakeru Shikata
In this paper, we investigate the structure of associated groups of symmetric quandles. Among other results, we explore the relationship between the associated group of a symmetric…
Embedding Alexander quandles into groups
Toshiyuki Akita
For any twisted conjugate quandle , and in particular any Alexander quandle, there exists a group such that is embedded into the conjugation quandle of .
The adjoint group of a Coxeter quandle
Toshiyuki Akita
We give explicit descriptions of the adjoint group of the Coxeter quandle associated with an arbitrary Coxeter group . The adjoint group of turns out to be an interm…
A formula for the Euler characteristics of even dimensional triangulated manifolds
Toshiyuki Akita
An unusual formula for the Euler characteristics of even dimensional triangulated manifolds is deduced from the generalized Dehn-Sommerville equations.
Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups
Toshiyuki Akita, Nariya Kawazumi
The first author conjectured certain relations for Morita-Mumford classes and Newton classes in the integral cohomology of mapping class groups (integral Riemann-Roch formulae). In…