# Isomorphisms of groups related to flocks

@article{Thas2012IsomorphismsOG, title={Isomorphisms of groups related to flocks}, author={Koen Thas}, journal={Journal of Algebraic Combinatorics}, year={2012}, volume={36}, pages={111-121} }

A truly fruitful way to construct finite generalized quadrangles is through the detection of Kantor families in the general 5-dimensional Heisenberg group over some finite field $\mathbb{F}_{q}$. All these examples are so-called “flock quadrangles”. Payne (Geom. Dedic. 32:93–118, 1989) constructed from the Ganley flock quadrangles the new Roman quadrangles, which appeared not to arise from flocks, but still via a Kantor family construction (in some group of the same order as ). The fundamental…

## 6 Citations

### A question of Frohardt on $2$-groups, skew translation quadrangles of even order and cyclic STGQs

- Mathematics
- 2018

. We solve a fundamental question posed in Frohardt’s 1988 paper [8] on ﬁnite 2- groups with Kantor familes, by showing that ﬁnite groups K with a Kantor family ( F , F ∗ ) having distinct members…

### A question of Frohardt on $2$-groups, and skew translation quadrangles of even order

- Mathematics
- 2018

We solve a fundamental question posed in Frohardt's 1988 paper [Fro] on finite $2$-groups with Kantor familes, by showing that finite groups with a Kantor family $(\mathcal{F},\mathcal{F}^*)$ having…

### Central aspects of skew translation quadrangles, 1

- Mathematics, Geology
- 2014

Modulo a combination of duality, translation duality or Payne integration, every known finite generalized quadrangle except for the Hermitian quadrangles $$\mathcal {H}(4,q^2)$$H(4,q2), is an elation…

### Generalized quadrangles from a local point of view

- Mathematics
- 2011

In this lecture, I will survey several recent results in the local theory of generalized quadrangles. Starting with a short introduction to the global automorphism theory, I will motivate as such the…

### Classification of STGQs, I

- Mathematics
- 2014

We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank $2$ and type $\mathbb{B}_2$), more precisely in the (large) sub theory of skew translation…

### Classification of skew translation generalized quadrangles, I

- Mathematics, GeologyDiscret. Math. Theor. Comput. Sci.
- 2015

We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank 2 and type B2), more precisely in the (large) subtheory of skew translation generalized…

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