scholarly journals Cross number invariants of finite abelian groups

2014 ◽  
Vol 136 ◽  
pp. 100-117 ◽  
Author(s):  
Xiaoyu He
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
Cross Number

scholarly journals The cross number of finite abelian groups III

1996 ◽  
Vol 150 (1-3) ◽  
pp. 123-130 ◽  
Author(s):  
Alfred Geroldinger ◽  
Rudolf Schneider
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
The Cross ◽  
Cross Number

scholarly journals The Cross Number of Finite Abelian Groups II

1994 ◽  
Vol 15 (4) ◽  
pp. 399-405 ◽  
Author(s):  
Alfred Geroldinger ◽  
Rudolf Schneider
Keyword(s):  
Abelian Groups ◽  
Finite Abelian Groups ◽  
The Cross ◽  
Cross Number

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
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