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The structure of symmetry groups of GK(2n, G)
Author(s) -
Duncan D.,
Ihrig E.
Publication year - 1994
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180020507
Subject(s) - mathematics , combinatorics , prime (order theory) , factorization , automorphism , symmetry (geometry) , automorphism group , group (periodic table) , chemistry , geometry , algorithm , organic chemistry
The automorphism groups of the one‐factorizations GK(2n,G) are computed. It is shown that every 1‐factorization of K 2n with a subgroup of the automorphism group that acts sharply 2‐transitively on the one‐factors must be GK(p m + 1, (Z p ) m ) for some odd prime p . © 1994 John Wiley & Sons, Inc.
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