ABSTRACT

This work confronts the question of geometric processes of derivation, specifically the derivation of affine planes - keying in on construction techniques and types of transformations in which lines of a newly-created plane can be understood as subplanes of the original plane. The book provides a theory of subplane covered nets without restriction

chapter |6 pages

A BRIEF OVERVIEW

chapter |10 pages

PROJECTIVE GEOMETRIES

chapter |10 pages

BEGINNING DERIVATION

chapter 4|14 pages

SPR EADS

4.1 Affine Planes with a Transitive Translation Group.

chapter 5|16 pages

D ERIV A BLE N ETS

chapter |8 pages

6THE HUGH ES PLA N ES

chapter 7|14 pages

D ESA RG U ESIA N PLA N ES

chapter |6 pages

8PAPP IA N PLA N ES

chapter |12 pages

9CHARAC TE R IZA TIO NSOFGEOMETR IE S

chapter 10|16 pages

DERIV ABLE N ETS AND G EO M ETR IES

chapter 12|12 pages

D UA L SPR EA DSAND BAER SU B PLA N ES

chapter 13|6 pages

D ER IV A TIO N AS AGEOMETR IC PR O C ESS

chapter 14|16 pages

EMBEDD IN G

chapter 16|14 pages

SU B PLA N E CO V ERED A FFIN E PLA N ES

chapter 17|18 pages

D IR ECT PR ODUCTS

chapter 18|12 pages

PARALLELISM S

chapter 20|24 pages

B A ER EX TEN SIO N S

chapter 21|18 pages

TRA N SLA TIO N PLA N ES ADM IT T IN G BAER GROU PS

21.1 General Spreads with Baer Groups.

chapter 22|16 pages

SPR EA D S CO VERED BY PSEU D O -R EG ULI

chapter 23|12 pages

CON IC ALAND RU LED PLA N ES O V ER FIELD S

chapter 24|8 pages

SPR EA DSWH IC H ARE DUAL SPREA D S

chapter 25|12 pages

PA RTIA L FLO CKS OFD EFIC IE NCY O NE

chapter 26|12 pages

SK EW -H A LL PLA N ES

chapter |6 pages

B IB L IO GRA PH Y

chapter |4 pages

IN D EX