TY - JOUR
T1 - On the fixed points of sylow subgroups of transitive permutation groups
T2 - Dedicated to George Szekeres on his 65th Birthday
AU - Herzog, Marcel
AU - Praeger, Cheryl E.
PY - 1976/6
Y1 - 1976/6
N2 - Let G be a transitive permutation group on a set ft of n points, and let P be a Sylow p-subgroup of G for some prime p dividing | G |. If P has I long orbits and/fixed points in Ω, then it is shown that where ip(n) = p- rp(n), rp(n) denoting the residue of n modulo p. In addition, groups for which/attains the upper bound are classified.
AB - Let G be a transitive permutation group on a set ft of n points, and let P be a Sylow p-subgroup of G for some prime p dividing | G |. If P has I long orbits and/fixed points in Ω, then it is shown that where ip(n) = p- rp(n), rp(n) denoting the residue of n modulo p. In addition, groups for which/attains the upper bound are classified.
UR - http://www.scopus.com/inward/record.url?scp=84974399430&partnerID=8YFLogxK
U2 - 10.1017/S1446788700019261
DO - 10.1017/S1446788700019261
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AN - SCOPUS:84974399430
SN - 1446-7887
VL - 21
SP - 428
EP - 437
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 4
ER -