66 citations · 232 across the 47 of their papers we have counts for
43 papers · 1 filter
Amusing Permutation Representations of Group Extensions
Yongju Bae, J. Scott Carter, Byeorhi Kim
Semi-direct products of finite groups have permutation representations that are constructed from the permutation representations of their constituents. One can envision these in a…
A prismatic classifying space
J. Scott Carter, Victoria Lebed, Seung Yeop Yang
A qualgebra is a set having two binary operations that satisfy compatibility conditions which are modeled upon a group under conjugation and multiplication. We develop a homolo…
Twist Spinning Knotted Trivalent Graphs
J. Scott Carter, Seung Yeop Yang
In 1965, E. C. Zeeman proved that the (+/-)-twist spin of any knotted sphere in (n-1)-space is unknotted in the n-sphere. In 1991, Y. Marumoto and Y. Nakanishi gave an alternate pr…
Non-orientable surfaces in 4-dimensional space
Yongju Bae, J. Scott Carter, Seonmi Choi +1
This article is a survey article that gives detailed constructions and illustrations of some of the standard examples of non-orientable surfaces that are embedded and immersed in 4…
Three-dimensional braids and their descriptions
J. Scott Carter, Seiichi Kamada
The notion of a braid is generalized into two and three dimensions. Two-dimensional braids are described by braid monodromies or graphics called charts. In this paper we introduce…
Invariants of Links in Thickened Surfaces
J. Scott Carter, Daniel S. Silver, Susan G. Williams
A group invariant for links in thickened closed orientable surfaces is studied. Associated polynomial invariants are defined. The group detects nontriviality of a virtual link and…