Some problems on knots, braids, and automorphism groups

Some problems on knots, braids, and automorphism groups Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2015, Volume: 12, Pages: 394-405 Pages count : 12 DOI: 10.17377/semi.2015.12.033

Tags

Braid; Faithful representation; Knot; Palindromic width; Symmetric cohomology

Authors

Bardakov Valeriy Georgievich ^1,2 , Gongopadhyay K. ³ , Singh M. ³ , Vesnin Andrei Yurʹevich ^1,2 , Jie Wu ⁴

Affiliations

1	Sobolev Institute of Mathematics
2	Novosibirsk State University pr. Koptyuga, 4, 630090, Novosibirsk, Russia
3	Department of Mathematical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, Sector 81, S.A.S. Nagar, P.O. Manauli 140306, India
4	Department of Mathematics, National University of Singapore, 10 lower Kent Ridge Road, 119076, Singapore

We present and discuss some open problems formulated by participants of the International Workshop "Knots, Braids, and Automorphism Groups" held in Novosibirsk, 2014. Problems are related to palindromic and commutator widths of groups; properties of Brunnian braids and two-colored braids, corresponding to an amalgamation of groups; extreme properties of hyperbolic 3-orbifold groups, relations between inner and quasi-inner automorphisms of groups; and Staic's construction of symmetric cohomology of groups.

Bardakov V.G. , Gongopadhyay K. , Singh M. , Vesnin A.Y. , Jie W.
Some problems on knots, braids, and automorphism groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2015. V.12. P.394-405. DOI: 10.17377/semi.2015.12.033 WOS Scopus

Web of science:	WOS:000440432400067
Scopus:	2-s2.0-85007584004

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Scopus	6
Web of science	6