TY - JOUR
T1 - On finite groups containing three cc-subgroups
AU - Arad, Zvi
AU - Ferguson, Pamela
PY - 1980/9
Y1 - 1980/9
N2 - A finite group G has a self-centralization system of type (2|A1|, 4|A2|,4|A3|) if G contains three nonconjugate CC-subgroups A1, A2, A3, such that|NG(A1)| = 2|A1|,|NG(A2)| = 4|A2|,|NG(A3)| = 4|A3| The authors prove that if a finite group G has a self-centralization system of type (2|A1|, 4|A2|, 4|,43|) and|G| < 3| A1,|2| A2|2| A3|2, then G has a nilpotent normal subgroup N such that G/N is isomorphic to Sz(q) for suitable q.
AB - A finite group G has a self-centralization system of type (2|A1|, 4|A2|,4|A3|) if G contains three nonconjugate CC-subgroups A1, A2, A3, such that|NG(A1)| = 2|A1|,|NG(A2)| = 4|A2|,|NG(A3)| = 4|A3| The authors prove that if a finite group G has a self-centralization system of type (2|A1|, 4|A2|, 4|,43|) and|G| < 3| A1,|2| A2|2| A3|2, then G has a nilpotent normal subgroup N such that G/N is isomorphic to Sz(q) for suitable q.
UR - http://www.scopus.com/inward/record.url?scp=84966258836&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-1980-0574503-0
DO - 10.1090/S0002-9939-1980-0574503-0
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AN - SCOPUS:84966258836
SN - 0002-9939
VL - 80
SP - 27
EP - 33
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 1
ER -