Finite groups with central Sylow 2-intersections

Finite Groups with p-Sylow Coverings

2-sylow Theory for Groups of Finite Morley Rank

We explore 2-Sylow theory in groups of finite Morley rank, developing the language necessary to begin to understand the structure of such groups along the way, and culminating in a proof of a theorem of Borovik and Poizat that all Sylow 2-subgroups are conjugate in a group of finite Morley

finite groups with p-sylow coverings

Sylow Intersections and Fusion

It is common in mathematics for a subject to have its local and global aspects; such is the case in group theory. For example, the structure and embedding of subgroups of a group G may be usefully thought of as part of the local structure of G while the normal subgroups, quotient groups and conjugacy classes are relevant to the global structure of G. Furthermore, the connections between local a...

POS-groups with some cyclic Sylow subgroups

A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.