scholarly journals On soluble groups of automorphisms of nonorientable Klein surfaces

1992 ◽  
Vol 141 (3) ◽  
pp. 215-227
Author(s):  
G. Gromadzki
Keyword(s):  
Klein Surfaces ◽  
Soluble Groups ◽  
Groups Of Automorphisms

Formation theory and groups of automorphisms of -groups

1977 ◽  
Vol 76 (4) ◽  
pp. 255-265 ◽  
Author(s):  
M. J. Tomkinson
Keyword(s):  
Finite Groups ◽  
Composition Series ◽  
Formation Theory ◽  
Locally Finite ◽  
Soluble Groups ◽  
Locally Finite Groups ◽  
Group Of Automorphisms ◽  
Infinite Case ◽  
Groups Of Automorphisms ◽  
Automorphisms Of Groups

SynopsisFurther results from the theory of finite soluble groups are extended to the class of locally finite groups with a satisfactory Sylow structure. Let be a saturated U-formation and A a -group of automorphisms of the -group G. A is said to act -centrally on G if G has an A-composition series (Λσ/Vσ; σ ∈ ∑) such that A induces an f(p)-group of automorphisms in each p-factor Λσ/Vσ. We show that in this situation A is an -group, thus generalising the result of Schmid [8]. Associated results of Schmid and of Baer are also extended to the infinite case.

scholarly journals Groups of automorphisms of hyperelliptic Klein surfaces of genus three.

1986 ◽  
Vol 33 (1) ◽  
pp. 55-74 ◽  
Author(s):  
E. Bujalance ◽  
J. J. Etayo ◽  
J. M. Gamboa
Keyword(s):  
Klein Surfaces ◽  
Groups Of Automorphisms

scholarly journals On finite soluble groups and the fixed-point groups of automorphisms

1971 ◽  
Vol 5 (3) ◽  
pp. 375-378 ◽  
Author(s):  
J.N. Ward
Keyword(s):  
Fixed Point ◽  
Soluble Groups ◽  
Point Groups ◽  
Groups Of Automorphisms ◽  
Soluble P

Let p denote a prime, G a. finite soluble p'-group and A an elementary abelian p-group of operators on G. Suppose that A has order p4 and that if ω ∈ A# then CG(ω) has nilpotent derived group. Then G has nilpotent derived group.

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