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Transitive Deficiency-One Baer Subgeometry Partitions

V. Jha, N.L. Johnson
2002 Journal of combinatorial theory. Series A  
admitting groups fixing one Baer subgeometry and acting transitively on the remaining Baer subgeometries.  ...  When q is even, we show that a Baer subgeometry partition of PG(2, q 2 ) with a group fixing one and transitive on the remaining PG(2, q)'s forces the partition to be classical or q=4 and the partition  ...  Moreover, we discuss ''transitive'' deficiency one partial Baer subgeometry partitions; deficiency one partial BSG's admitting a group transitive on the subplanes of the partition.  ... 
doi:10.1006/jcta.2001.3232 fatcat:qeviqsx7obfpljyg3637wcug3y

Page 3586 of Mathematical Reviews Vol. , Issue 2003e [page]

2003 Mathematical Reviews  
| (1-IA; Iowa City, IA) Transitive deficiency-one Baer subgeometry partitions. (English summary) J. Combin. Theory Ser. A 98 (2002), no. 1, 127-149.  ...  A Baer subgeometry partition (BSG) of a finite projective space PG(2k,q7) is a partition of its points by Baer subspaces (isomor- phic to PG(2k,q)). The authors refer to a result of N.  ... 

Finite geometries

A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel, J. A. Thas
2008 Designs, Codes and Cryptography  
Korchmáros, Transitive ovoids of the Hermitian surface E. Kuijken, Distance-regular geometries I.N. Landjev, On arcs in projective Hjelmslev planes over finite chain rings D.  ...  Leemans, RWPRI and (2T ) 1 flag-transitive linear spaces G. Lunardon, Spreads in H(q) and 1-systems of Q(6, q) D. Luyckx, On 1-systems of Q(6, q), q even R. Meshulam, Group algebras and expanders K.  ...  subgeometries PG(4,q).  ... 
doi:10.1007/s10623-007-9162-6 fatcat:yd5cqfmlrfa7zlzeifhhx7qfg4

Page 1388 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
Non-normalizing Baer involutions. (English summary) 2003e:51017 — (with Johnson, Norman Lloyd!) Transitive deficiency-one Baer subgeometry partitions.  ...  (with Pomareda, Rolando) Transitive partial parallelisms of deficiency one.  ... 

DISSERTATION HYPEROVALS, LAGUERRE PLANES AND HEMISYSTEMS-AN APPROACH VIA SYMMETRY Submitted by

Luke Bayens, Jeff Achter, Willem Bohm, Chris Peterson
2013 unpublished
We characterize the Miquelian Laguerre planes as those admitting a group containing a non-trivial elation and acting transitively on flags, with an additional hypothesis-a quasiprimitive action on circles  ...  This had a profound effect on the study of geometry, eventually elevating symmetry to a central role.  ...  involution, 28, 98 Baer subgeometry, 97 Baer subplanes, 28 Baer subspaces, 27 base, 47 blank type I, 13 blank type II, 13 block design, 24 block-tactical, 100 Buekenhout-Metz unitals, 29 bundle, 72 bundle  ... 
fatcat:dcihwewq7ncetffyooqv43dohm