### Finite Simple Groups, Oxford 1969

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**A survey of the maximal subgroups of the finite simple groups**

It has 2 such representations, one of dimension and one of dimension Finkelstein found the 12 conjugacy classes of maximal subgroups of McL as follows:. Traces of matrices in a standard dimensional representation of McL are shown.

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Cycle structures in the rank 3 permutation representation, degree , of McL are shown. Conway and Norton suggested in their paper that monstrous moonshine is not limited to the monster. Larissa Queen and others subsequently found that one can construct the expansions of many Hauptmoduln from simple combinations of dimensions of sporadic groups. From Wikipedia, the free encyclopedia. Subgroup Normal subgroup Quotient group Semi- direct product Group homomorphisms kernel image direct sum wreath product simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable List of group theory topics.

Finite groups. Discrete groups Lattices. Topological and Lie groups. Wiley Classics Library.

Reprint of the original, A WileyInterscience Publication. Conway - R. Curtis - S. Norton - R. Parker - R. Wilson , Atlas of finite groups. Oxford University Press, Eynsham, Maximal subgroups and ordinary characters for simple groups, With computational assistance from J. In Advances in group theory Aracne, Rome, , pp.

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Damian - A. Lucchini , Recognizing the alternating groups from their probabilistic zeta function. Glasgow Math. Algebra, submitted. Lucchini - F. Morini , Some properties of the probabilistic zeta function on finite simple groups. Pacific J.

Detomi - A. Lucchini , Recognizing soluble groups from their probabilistic zeta functions.

## Classification of finite simple groups - Wikipedia

London Math. A multiplicative analogue of Schnirelmann's theorem Aled Walker. Prime divisors in polynomial orbits over function fields Wade Hindes. Erratum: Lower bounds for the height in Galois extensions: Bull. London Math. Email alerts New issue alert.

Advance article alerts. Receive exclusive offers and updates from Oxford Academic. Period and index, symbol lengths, and generic splittings in Galois cohomology. Note on short-time behavior of semigroups associated to self-adjoint operators.