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A study of enhanced power graphs of finite groups
Journal of Algebra and its Applications, 2020The enhanced power graph [Formula: see text] of a group [Formula: see text] is the graph with vertex set [Formula: see text] such that two vertices [Formula: see text] and [Formula: see text] are adjacent if they are contained in the same cyclic subgroup.
Samir Zahirović +2 more
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The Character Theory of Finite Groups of Lie Type
, 2020Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics.
M. Geck, G. Malle
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Journal of the London Mathematical Society, 2000
A group is called homogeneous if any isomorphism between two finitely generated subgroups is induced by some automorphism. In [J. Lond. Math. Soc., II. Ser. 44, No. 1, 102-120 (1991; Zbl 0789.20033)] the authors classified homogeneous finite solvable groups.
Cherlin, Gregory, Felgner, Ulrich
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A group is called homogeneous if any isomorphism between two finitely generated subgroups is induced by some automorphism. In [J. Lond. Math. Soc., II. Ser. 44, No. 1, 102-120 (1991; Zbl 0789.20033)] the authors classified homogeneous finite solvable groups.
Cherlin, Gregory, Felgner, Ulrich
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Finite Permutation Groups and Finite Simple Groups
Bulletin of the London Mathematical Society, 1981In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced.
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