scholarly journals On approximation properties of semidirect products of groups

2020 ◽  
Vol 27 (1) ◽  
pp. 125-130
Author(s):  
Goulnara Arzhantseva ◽  
Światosław R. Gal
Keyword(s):  
Approximation Properties ◽  
Semidirect Products ◽  
Products Of Groups

scholarly journals Loops which are semidirect products of groups

2006 ◽  
Vol 114 (3) ◽  
pp. 247-266 ◽  
Author(s):  
Á. Figula ◽  
K. Strambach
Keyword(s):  
Semidirect Products ◽  
Products Of Groups

Loops which are semidirect products of groups

1995 ◽  
Vol 23 (1) ◽  
pp. 81-95 ◽  
Author(s):  
Gary F. Birkermeier ◽  
Sihai Xiao
Keyword(s):  
Semidirect Products ◽  
Products Of Groups

scholarly journals Congruences on the partial automorphism monoid of a free group action

2021 ◽  
pp. 1-30
Author(s):  
Matthew D. G. K. Brookes
Keyword(s):  
Free Group ◽  
Group Action ◽  
Finite Rank ◽  
Brandt Semigroup ◽  
Semidirect Products ◽  
Products Of Groups ◽  
Free Group Action

We study congruences on the partial automorphism monoid of a finite rank free group action. We determine a decomposition of a congruence on this monoid into a Rees congruence, a congruence on a Brandt semigroup and an idempotent separating congruence. The constituent parts are further described in terms of subgroups of direct and semidirect products of groups. We utilize this description to demonstrate how the number of congruences on the partial automorphism monoid depends on the group and the rank of the action.

Minimal permutation representations of semidirect products of groups

2016 ◽  
Vol 19 (6) ◽  
Author(s):  
David Easdown ◽  
Michael Hendriksen
Keyword(s):  
Semidirect Products ◽  
Products Of Groups

AbstractWe provide formulae for the minimal faithful permutation degree

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