2003
DOI: 10.1515/advg.2003.2003.s1.271
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The classification of spreads in PG(3,q) admitting linear groups of order q(q + 1), II. Even order

Abstract: Abstract.A classification is given of all spreads in PG(3,#), q = 2 r , whose associated translation planes admit linear collineation groups of order q(q -hi).

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Cited by 4 publications
(2 citation statements)
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“…When p = 2, Jha and Johnson [16] have constructed a translation plane of order 8 2 that admits a collineation group of order 8(8 + 1) such a Sylow 2-subgroup contains an elation group of order q/2 = 4 permuting a set of mutually disjoint reguli in an associated Desarguesian affine plane. Hence, by lifting, we may construct an infinite class of translation planes admitting groups of order 8(8 s +1), where s is any odd integer.…”
Section: Jha-johnson Q/2-elation Spreads Of Order Q 2 = 8mentioning
confidence: 99%
“…When p = 2, Jha and Johnson [16] have constructed a translation plane of order 8 2 that admits a collineation group of order 8(8 + 1) such a Sylow 2-subgroup contains an elation group of order q/2 = 4 permuting a set of mutually disjoint reguli in an associated Desarguesian affine plane. Hence, by lifting, we may construct an infinite class of translation planes admitting groups of order 8(8 s +1), where s is any odd integer.…”
Section: Jha-johnson Q/2-elation Spreads Of Order Q 2 = 8mentioning
confidence: 99%
“…Then, we have: b 2 = (a + 1) q+1 = a + a q . Now apply theorem 56 part (4) of Jha and Johnson [12] to see that if a + a q = α and a is not 1 (i.e. if n = n 1 ) then the trace GF(q) α −1 = 1.…”
Section: Large Elation or Baer Groups: Characteristicmentioning
confidence: 99%