Ballester Bolinches, Adolfo; Esteban Romero, Ramón; Li, Yangming(Springer and Science China Press, 2012-05)
A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids every chief factor of the series. The structural impact of the partial cover and avoidance ...
We give a complete classification of the finite groups with a unique subgroup of order p for each prime p dividing its order. All the groups considered in this paper will be finite.
One of the most fruitful lines in the ...
Liriano Castro, Orieta del Corazón de Jesús(Universitat Politècnica de València, 2016-01-07)
[EN] The scope of this thesis is the abstract finite group theory. All the groups we will consider will be finite. hence, the word "group" will be understood as a synonimous of "finite group". We say that a subgroup H of ...