A Fusion Algorithm for Solving the Hidden Shift Problem in Finite Abelian Groups

2021 ◽  
pp. 133-153
Author(s):  
Wouter Castryck ◽  
Ann Dooms ◽  
Carlo Emerencia ◽  
Alexander Lemmens
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
Fusion Algorithm ◽  
Shift Problem

scholarly journals Counting subgroups of fixed order in finite abelian groups

2021 ◽  
Vol 24 (1) ◽  
pp. 263-276
Author(s):  
Fikreab Solomon Admasu ◽  
Amit Sehgal
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
Fixed Order

scholarly journals EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2

2020 ◽  
pp. 1-14
Author(s):  
NICOLÁS ANDRUSKIEWITSCH ◽  
DIRCEU BAGIO ◽  
SARADIA DELLA FLORA ◽  
DAIANA FLÔRES
Keyword(s):  
Hopf Algebras ◽  
Abelian Groups ◽  
Vector Spaces ◽  
Group Algebras ◽  
Finite Abelian Groups ◽  
Finite Dimensional ◽  
Pointed Hopf Algebras ◽  
Characteristic 2 ◽  
Nichols Algebras ◽  
Kirillov Dimension

Abstract We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter–Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand–Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.

scholarly journals Sum-free subsets of finite abelian groups of type III

2016 ◽  
Vol 58 ◽  
pp. 181-202 ◽  
Author(s):  
R. Balasubramanian ◽  
Gyan Prakash ◽  
D.S. Ramana
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
Type Iii

scholarly journals Elementary equivalence of right-angled Coxeter groups and graph products of finite abelian groups

2009 ◽  
Vol 42 (1) ◽  
pp. 130-136 ◽  
Author(s):  
Montserrat Casals-Ruiz ◽  
Ilya Kazachkov ◽  
Vladimir Remeslennikov
Keyword(s):  
Coxeter Groups ◽  
Abelian Groups ◽  
Graph Products ◽  
Finite Abelian Groups ◽  
Elementary Equivalence

scholarly journals Tensor Categories with Fusion Rules of Self-Duality for Finite Abelian Groups

1998 ◽  
Vol 209 (2) ◽  
pp. 692-707 ◽  
Author(s):  
Daisuke Tambara ◽  
Shigeru Yamagami
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
Tensor Categories ◽  
Fusion Rules ◽  
Self Duality
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