### Some articles on *finite index, finite, index*:

Some Elementary Properties of SQ-universal Groups

... Since every subgroup H of

... Since every subgroup H of

**finite index**in a group G contains a normal subgroup N also of**finite index**in G, it easily follows that If a group G is SQ-universal then so is any**finite index**subgroup H of G ...Subgroup Growth - Nilpotent Groups

... as triples (a, b, c) of integers with group operation given by To each

... as triples (a, b, c) of integers with group operation given by To each

**finite index**subgroup U of G, associate the set of all ``good bases´´ of U as follows ... one determines the set of all good bases of all**finite index**subgroups, and determines how many of these belong to one given subgroup ... integers such that is a good basis of some**finite**-index subgroup ...Hyperelliptic Curve Cryptography - Attacks Against The DLP

... on the discrete logarithm problem in

... on the discrete logarithm problem in

**finite**abelian groups such as the Pohlig-Hellman algorithm and Pollard's rho method can be used to attack the DLP in the Jacobian of hyperelliptic curves ... The**index**calculus algorithm is another algorithm that can be used to solve DLP under some circumstances ... of (hyper)elliptic curves there exists an**index**calculus attack on DLP ...Residually Finite Group

... mathematical field of group theory, a group G is residually

... mathematical field of group theory, a group G is residually

**finite**or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a**finite**group, such that There ... A group is residually**finite**if and only if the intersection of all its subgroups of**finite index**is trivial ... A group is residually**finite**if and only if the intersection of all its normal subgroups of**finite index**is trivial ...Frobenius Algebra - Applications - Generalization: Frobenius Extension

... are pairs of group algebras associated to a subgroup of

... are pairs of group algebras associated to a subgroup of

**finite index**, Hopf subalgebras of a semisimple Hopf algebra, Galois extensions and certain von Neumann ... Let G be a group and H a subgroup of**finite index**n in G let g1.. ... A simple example of this is a**finite**group G acting by automorphisms on an algebra A with subalgebra of invariants By DeMeyer's criterion A is G-Galois over B if there are elements in A satisfying ...### Famous quotes containing the words index and/or finite:

“Exile as a mode of genius no longer exists; in place of Joyce we have the fragments of work appearing in *Index* on Censorship.”

—Nadine Gordimer (b. 1923)

“Sisters define their rivalry in terms of competition for the gold cup of parental love. It is never perceived as a cup which runneth over, rather a *finite* vessel from which the more one sister drinks, the less is left for the others.”

—Elizabeth Fishel (20th century)

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