“…where we also identify L with its image in M , which is itself an extension of L by G, will be called a subextension of E that corresponds to the embedding (1). It is known [3] that the equivalence classes of extensions of L by G are in a one-toone correspondence with (thus are defined by) the elements of the second cohomology group H 2 (G, L).…”
We find a criterion for the embedding of a nonsplit central extension of PSL n (q) with kernel of prime order into the permutation wreath product that corresponds to the action on the projective space.
“…where we also identify L with its image in M , which is itself an extension of L by G, will be called a subextension of E that corresponds to the embedding (1). It is known [3] that the equivalence classes of extensions of L by G are in a one-toone correspondence with (thus are defined by) the elements of the second cohomology group H 2 (G, L).…”
We find a criterion for the embedding of a nonsplit central extension of PSL n (q) with kernel of prime order into the permutation wreath product that corresponds to the action on the projective space.
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