Finite Groups with Sylow 2-Subgroups of Type the Alternating Group of Degree Sixteen
A 2-group is said to be of type X if it is isomorphic to a Sylow 2-subgroup of the group X . If G is a group with a Sylow 2-subgroup S of type X , we say that G has the involution fusion pattern of X if for some isomorphism θ of S onto a Sylow 2-subgroup of X , two involutions a, b of S are conjugate in G if and only if the involutions θ(a), θ(b) of θ(S) are conjugate in X . Also we say that a group G is fusion-simple if G = O 2(G) and O(G) = Z(G) = 1 .
Unable to display preview. Download preview PDF.
- David M. Goldschmidt, “2-fusion in finite groups”, submitted.Google Scholar
- Daniel Gorenstein and Koichiro Harada, “On finite groups with Sylow 2-subgroups of type An, n 8, 9, 10, 11 ”, Math. Z. 117 (1970), 207–23.Google Scholar
- aniel Gorenstein and Koichiro Harada, “Finite groups with Sylow 2-subgroups of type PSp(4,, y odd”, J. Fac. Sci, Univ. Tokyo Sect. I A Math. (to appear).Google Scholar
- Koichiro Harada, “Finite simple groups whose Sylow 2-subgroups are of order 27, J. Algebra 14 (1970), 386–404.Google Scholar