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- W2128207974 abstract "Abstract We demonstrate the existence, in the 5-dimensional projective space over any field J in which 1 + 1 ≠ 0 and −1 is a square, of a non-degenerate double-twenty of planes (ℋ, K ) with the property that there is a group of collineations which acts transitively on ℋ ∪ K while each element of the group either maps ℋ onto itself and K onto itself or else swaps ℋ with K . If there is an involutory automorphism of J which swaps the two square roots of −1, then (ℋ, K ) is also self-polar (with respect to a unitary polarity). We describe some of the geometry (in both 5-dimensional and 3-dimensional space) associated with the double-twenty (ℋ, K ) and its group." @default.
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- W2128207974 date "1996-10-01" @default.
- W2128207974 modified "2023-09-27" @default.
- W2128207974 title "A transitive self-polar double-twenty of planes" @default.
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- W2128207974 doi "https://doi.org/10.1017/s1446788700000239" @default.
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