Book Review: Finite groups and finite geometries

Further Problems concerning Finite Geometries and Finite Groups

This note is intended as a very long footnote to the other finite geometry papers in this volume. Areas of overlap between finite geometry (or combinatorics) and finite groups will be listed which were either not mentioned, or were only briefly alluded to, at the conference. However, the descriptions and bibliography given here will also be brief: the goal is to indicate research directions, no...

Note on Lie algebras , finite groups and finite geometries

The subject of this note began with Thompson [Thl,2]. In the course of constructing his simple group Th, he considered the Lie algebra Lover iC of type Es. He constructed a decomposition L H1 ..L ... ..L H31 using a family H. {H1, ... , H31 } of Cartan algebras that are pairwise perpendicular with respect to the Killing form (he called this a "Dempwolff decomposition" of L; the construction was...

Links among Finite Geometries, Graphs and Groups

Pairwise‎ ‎non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups

Let $G$ be a finite group‎. ‎A subset $X$ of $G$ is a set of pairwise non-commuting elements‎ ‎if any two distinct elements of $X$ do not commute‎. ‎In this paper‎ ‎we determine the maximum size of these subsets in any finite‎ ‎non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup‎.

Elements of Finite Model Theory [book review]