Permuting the Elements of a Finite Solvable Group
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 327-330
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The main result in this note is the followingTheorem: Let G be a finite solvable group. There exists a permutation σ of the set G such that {g • σ(g); g∈G} = G if and only if the Sylow 2-subgroup of G is non-cyclic or trivial
Cliff, Gerald H.; Rhemtulla, Akbar H. Permuting the Elements of a Finite Solvable Group. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 327-330. doi: 10.4153/CMB-1979-040-6
@article{10_4153_CMB_1979_040_6,
author = {Cliff, Gerald H. and Rhemtulla, Akbar H.},
title = {Permuting the {Elements} of a {Finite} {Solvable} {Group}},
journal = {Canadian mathematical bulletin},
pages = {327--330},
year = {1979},
volume = {22},
number = {3},
doi = {10.4153/CMB-1979-040-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-040-6/}
}
TY - JOUR AU - Cliff, Gerald H. AU - Rhemtulla, Akbar H. TI - Permuting the Elements of a Finite Solvable Group JO - Canadian mathematical bulletin PY - 1979 SP - 327 EP - 330 VL - 22 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-040-6/ DO - 10.4153/CMB-1979-040-6 ID - 10_4153_CMB_1979_040_6 ER -
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