Direct Products of Fuzzy Subgroups and Fuzzy Cyclic Subgroups

2005 ◽  
pp. 167-200 ◽  
Author(s):  
John N. Mordeson ◽  
Kiran R. Bhutani ◽  
Azriel Rosenfeld
Keyword(s):  
Direct Products ◽  
Cyclic Subgroups ◽  
Fuzzy Subgroups

scholarly journals On the sandpile model of modified wheels II

2020 ◽  
Vol 18 (1) ◽  
pp. 1531-1539
Author(s):  
Zahid Raza ◽  
Mohammed M. M. Jaradat ◽  
Mohammed S. Bataineh ◽  
Faiz Ullah
Keyword(s):  
Direct Product ◽  
Critical Group ◽  
Complete Structure ◽  
Sandpile Model ◽  
Cyclic Subgroups ◽  
Algebr Comb ◽  
Abelian Sandpile ◽  
Chip Firing ◽  
Sandpile Group

Abstract We investigate the abelian sandpile group on modified wheels {\hat{W}}_{n} by using a variant of the dollar game as described in [N. L. Biggs, Chip-Firing and the critical group of a graph, J. Algebr. Comb. 9 (1999), 25–45]. The complete structure of the sandpile group on a class of graphs is given in this paper. In particular, it is shown that the sandpile group on {\hat{W}}_{n} is a direct product of two cyclic subgroups generated by some special configurations. More precisely, the sandpile group on {\hat{W}}_{n} is the direct product of two cyclic subgroups of order {a}_{n} and 3{a}_{n} for n even and of order {a}_{n} and 2{a}_{n} for n odd, respectively.

Generators of infinite direct products of unitary groups

1977 ◽  
Vol 18 (11) ◽  
pp. 2166-2171 ◽  
Author(s):  
K. Kraus ◽  
L. Polley ◽  
G. Reents
Keyword(s):  
Unitary Groups ◽  
Direct Products

Automorphisms of direct products of finite groups

2006 ◽  
Vol 86 (6) ◽  
pp. 481-489 ◽  
Author(s):  
J. N. S. Bidwell ◽  
M. J. Curran ◽  
D. J. McCaughan
Keyword(s):  
Finite Groups ◽  
Direct Products

scholarly journals Boundedness of direct products of torsion modules

1986 ◽  
Vol 39 ◽  
pp. 251-273 ◽  
Author(s):  
K.R. Goodearl ◽  
B. Zimmermann-Huisgen
Keyword(s):  
Direct Products ◽  
Torsion Modules
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