Finite groups with odd Sylow automizers

Finite Groups with p-Sylow Coverings

finite groups with p-sylow coverings

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.

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

Invariant Sylow subgroups and solvability of finite groups

Let A and G be finite groups of relatively prime orders and assume that A acts on G via automorphisms. We study how certain conditions on G imply its solvability when we assume the existence of a unique A-invariant Sylow p-subgroup for p equal to 2 or 3. Mathematics Subject Classification (2010). Primary 20D20; Secondary 20D45.