… Sylow subgroups are fundamental in the design of asymptotically efficient group-theoretic …
We present efficient parallel NC algorithms for finding and conjugating Sylow subgroups of …

… conjugacy problem for the Sylow r-subgroups of the classical … to construct the normaliser of
a Sylow r-subgroup of GL(n,Fq), … the conjugacy problem for Sylow subgroups of the classical …

… By [1], see also [10, p.190], the only simple groups all of whose Sylow subgroups of odd
order are cyclic are PSL(2, 2f ), f > 1, PSL(2,p), p > 3, Sz(22n+1) and the Janko group J1 of order …

… X if S is isomorphic to a Sylow 2-subgroup of the group X. We note that if S is of type 2s, it is
also of type A, since A^, and I& have isomorphic Sylow 2-subgroups. For the same reason, if …

… Namely, we will describe how Sylow subgroups arise from such decompositions (without …
We will prove Theorem A.2, and then Theorem Al(i), by presenting procedures that parallel …

… In all cases, we get an abelian (homocyclic) subgroup isomorphic to a Sylow p-subgroup
of a … If e = 1, then the subgroup containing the Sylow is easy to describe: it is the group M of …

… 2-subgroup which is normal in some Sylow 2-subgroup containing it. If the normal 2-rank is
1, then the Sylow 2-subgroup … T that can occur as Sylow 2-subgroups of simple groups G with …

The primary purpose of this paper is to give a complete classification of all finite simple
groups with quasi-dihedral Sylow 2-subgroups. We shall prove that any such group must be …

… In order to find out how far the corollaries of Baer and Gol'berg are capable of a parallel
generalization, we have to provide a direct proof of Theorem A. The proof that follows is basically …

… to characters of the normalizer of a Sylow p-group of 6. Several … , results hold when G has
a Sylow p-group P satisfying … Proceeding parallel to Brauer’s work in [I], we are able to apply …