Generalized polygons with highly transitive collineation groups

1995 ◽  
Vol 58 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Michael Joswig
Keyword(s):  
Generalized Polygons ◽  
Collineation Groups

On order in generalized polygons

1981 ◽  
Vol 10 (1-4) ◽  
pp. 451-458 ◽  
Author(s):  
A. Yanushka
Keyword(s):  
Generalized Polygons

On Finite Groups with an Abelian Sylow Group

1962 ◽  
Vol 14 ◽  
pp. 436-450 ◽  
Author(s):  
Richard Brauer ◽  
Henry S. Leonard
Keyword(s):  
Finite Groups ◽  
Irreducible Characters ◽  
Collineation Groups ◽  
Sylow Group

We shall consider finite groups of order of g which satisfy the following condition:(*) There exists a prime p dividing g such that if P ≠ 1 is an element of p-Sylow group ofthen the centralizer(P) of P incoincides with the centralizer() of in.This assumption is satisfied for a number of important classes of groups. It also plays a role in discussing finite collineation groups in a given number of dimensions.Of course (*) implies that is abelian. It is possible to obtain rather detailed information about the irreducible characters of groups in this class (§ 4).

scholarly journals Affine planes with primitive collineation groups

1990 ◽  
Vol 128 (2) ◽  
pp. 366-383 ◽  
Author(s):  
Yutaka Hiramine
Keyword(s):  
Affine Planes ◽  
Collineation Groups
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