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- W1974039284 abstract "A finite group R is a DCI-group if, whenever S and T are subsets of R with the Cayley graphs Cay(R,S) and Cay(R,T) isomorphic, there exists an automorphism φ of R with Sφ=T. Elementary abelian groups of order p4 or smaller are known to be DCI-groups, while those of sufficiently large rank are known not to be DCI-groups. The only published proof that elementary abelian groups of order p4 are DCI-groups uses Schur rings and does not work for p=2 (which has been separately proven using computers). This paper provides a simpler proof that works for all primes. Some of the results in this paper also apply to elementary abelian groups of higher rank, so may be useful for completing our determination of which elementary abelian groups are DCI-groups." @default.
- W1974039284 created "2016-06-24" @default.
- W1974039284 creator A5009892196 @default.
- W1974039284 date "2015-08-01" @default.
- W1974039284 modified "2023-09-23" @default.
- W1974039284 title "Elementary proof that <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msubsup><mml:mrow><mml:mi mathvariant=double-struck>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msubsup></mml:math> is a DCI-group" @default.
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- W1974039284 doi "https://doi.org/10.1016/j.disc.2015.02.023" @default.
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