Central Products of Subgroups and Block Theory of Finite Groups

2014 ◽  
Vol 67 (1-2) ◽  
pp. 111-124 ◽  
Author(s):  
Morton E. Harris
Keyword(s):  
Finite Groups ◽  
Block Theory ◽  
Products Of Subgroups ◽  
Central Products

scholarly journals Some finite groups with few defining relations

1985 ◽  
Vol 38 (2) ◽  
pp. 230-240 ◽  
Author(s):  
B. H. Neumann
Keyword(s):  
Finite Groups ◽  
Direct Products ◽  
Cyclic Groups ◽  
Defining Relations ◽  
Central Products

AbstractSome new classes of finite groups with zero deficiency presentations, that is to say presentations with as few defining relations as generators, are exhibited. The presentations require 3 generators and 3 defining relations; the groups so presented can also be generated by 2 of their elements, but it is not known whether they can be defined by 2 relations in these generators, and it is conjectured that in general they can not. The groups themselves are direct products or central products of binary polyhedral groups with cyclic groups, the order of the cyclic factor being arbitrary.

scholarly journals More on finite groups with few defining relations

1989 ◽  
Vol 46 (1) ◽  
pp. 132-136 ◽  
Author(s):  
J. L. Mennicke ◽  
B. H. Neumann
Keyword(s):  
Finite Groups ◽  
Cyclic Groups ◽  
Defining Relations ◽  
Central Products

AbstractCertain central products of the binary polyhedral groups with finite cyclic groups are here shown to have presentations with two generators and two defining relations; this disproves a conjecture of the second author, stated in J. Austral. Math. Soc. Ser. A 38 (1985), 230–240.

Enumeration of Finite Groups

2007 ◽  
Author(s):  
Simon R. Blackburn ◽  
Peter M. Neumann ◽  
Geetha Venkataraman
Keyword(s):  
Finite Groups

Lectures on Block Theory

1991 ◽  
Author(s):  
Burkhard Külshammer
Keyword(s):  
Block Theory
Sign in / Sign up

Export Citation Format

Share Document