On groups of Baer collineations acting on cartesian and translation planes
β Scribed by Vikram Jha
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 931 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0021-8693
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## Abstract A general theory of collineation groups generated by quartic groups of even order is considered. Applications are given to collineation groups generated by βlargeβ quartic groups. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 13: 195β210, 2005.
Alspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abelian group A can be decomposed into k hamiltonian cycles. In this paper we generalize a result by Kotzig that the Cartesian product of any two cycles can be decomposed into two hamiltonian cycles and show that
J\_et n'-. be an affine translation plane of order q' with GF(,i, in its kern. Suppose G is a subgroup of the translation complement of yr'z which leaves invariant a set A of q + 1 slopes and acts transitively on l,\A. We study the situation when G =SL(n, q) or kSL(n, q). We show that if G 1 A = id