A Reduction of the Open Sentence Problem for Finite Groups

1981 ◽  
Vol 13 (4) ◽  
pp. 331-338 ◽  
Author(s):  
Verena Huber-Dyson
Keyword(s):  
Finite Groups ◽  
Open Sentence

scholarly journals A family of groups with nice word problems

1974 ◽  
Vol 17 (4) ◽  
pp. 414-425 ◽  
Author(s):  
Verena Huber Dyson
Keyword(s):  
Word Problem ◽  
Finite Groups ◽  
Word Problems ◽  
Elementary Theory ◽  
Negative Solution ◽  
Open Sentence ◽  
Undecidability Result

This paper is an outgrowth of my old battle with the open sentence problem for the theory of finite groups. The unsolvability of the word problem for groups (cf. [1] and [4]) entails the undecidability of the open sentence problem for the elementary theory of groups and thus strengthens the original undecidability result for this theory (cf. [7]). The fact that the elementary theory of finite groups is also undecidable (cf. [2] and [6]) therefore justifies my interest in the open sentence problem for that theory. This paper contains a construction of groups that might lead to a negative solution.

Enumeration of Finite Groups

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

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

On σ-embedded and σ-n-embedded subgroups of finite groups

2018 ◽  
Vol 60 (3) ◽  
pp. 506-517
Author(s):  
V. Amjid ◽  
W. Guo ◽  
B. Li
Keyword(s):  
Finite Groups
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