TY - JOUR
T1 - Complements to solvable hall subgroups
AU - Gilman, Robert
PY - 1971/2
Y1 - 1971/2
N2 - A Hall subgroup H of a finite group G is a subgroup whose order is relatively prime to its index. We show that if H is solvable and if the way prime power elements of H are conjugate in G is restricted, then G has a quotient isomorphic to H. Suppose H is a Hall subgroup of G.
AB - A Hall subgroup H of a finite group G is a subgroup whose order is relatively prime to its index. We show that if H is solvable and if the way prime power elements of H are conjugate in G is restricted, then G has a quotient isomorphic to H. Suppose H is a Hall subgroup of G.
KW - C-closed
KW - Fusion
KW - Normal complement
KW - Prime power
KW - Quotient group
KW - Solvable hall subgroup finite group
KW - Transfer
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U2 - 10.1090/S0002-9939-1971-0269742-7
DO - 10.1090/S0002-9939-1971-0269742-7
M3 - Article
AN - SCOPUS:84968513270
SN - 0002-9939
VL - 27
SP - 241
EP - 243
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -