ON THE CENTER OF MAXIMAL SUBGROUPS OF LOCALLY FINITE SIMPLEGROUPS OF ALTERNATING TYPE

Joint with Neil Flowers

Abstract: Let G be a locally finite, simple group of alternatingtype and Z a subgroup of type (p,p). We show that there is a non-trivialelement z in Z with $C_G(z)\neq C_G(Z)$. In particular, the center of amaximal subgroup of G is locally cyclic.

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Contact: meier@math.msu.edu

Last Revised 9/22/01