No small subgroup information

said to have no small subgroup if there exists a neighborhood U {\displaystyle U} of the identity that contains no nontrivial subgroup of G . {\displaystyle...

In cryptography, a subgroup confinement attack, or small subgroup confinement attack, on a cryptographic method that operates in a large finite group is...

{\displaystyle p} , a Sylow p-subgroup (sometimes p-Sylow subgroup) of a group G {\displaystyle G} is a maximal p {\displaystyle p} -subgroup of G {\displaystyle...

In mathematics, specifically group theory, the index of a subgroup H in a group G is the number of left cosets of H in G, or equivalently, the number of...

Udegheic languages (alternatively known as the Orochic languages) form a small subgroup of Tungusic languages of Far East Russia. Languages and dialects (in...

performing as a whole group, Sakura Gakuin members were also divided into smaller subgroups known as "clubs". Each club had its own musical group that recorded...

performing as a whole group, Sakura Gakuin members were also divided into smaller subgroups known as "clubs”. Each club had its own musical group that recorded...

combined with the fact that previous releases are generally maintained for no more than two years after a new major one is released tends to force some...

which have the no small subgroup property. In a locally profinite group, a closed subgroup is locally profinite, and every compact subgroup is contained...

Frattini subgroup Φ ( G ) {\displaystyle \Phi (G)} of a group G is the intersection of all maximal subgroups of G. For the case that G has no maximal subgroups...

fruits of one of a number of banana cultivars belonging to the Cavendish subgroup of the AAA banana cultivar group (triploid cultivars of Musa acuminata)...

in Taiwan. No Han subgroup is recognized as one of People's Republic of China's 56 official ethnic groups, in Taiwan only three subgroups, Hoklo, Hakka...

normal subgroup N of a group G can be used to construct the quotient group G / N. no small subgroup A topological group has no small subgroup if there...

The Northern smallmouth bass is much more widespread than the much smaller subgroup called the Neosho smallmouth bass. The Neosho are native to an ecologically...

is a subgroup of the torus T 2 {\displaystyle \mathbb {T} ^{2}} that is not a Lie group when given the subspace topology. If we take any small neighborhood...

to do things. By 2012 there were more than 40 affiliations, with smaller subgroups within some affiliations counted, there were more than 65. In addition...

group is of prime order, it has no non-trivial proper subgroups, thwarting confinement attacks due to small subgroups. Implementations of protocols that...

much harder as the exponent of p increases. Most groups of small order have a Sylow p subgroup P with a normal p-complement N for some prime p dividing...

group theory, the Fitting subgroup F of a finite group G, named after Hans Fitting, is the unique largest normal nilpotent subgroup of G. Intuitively, it...

elements. A large subgroup H (preferably a maximal subgroup) of the Monster is selected in which it is easy to perform calculations. The subgroup H chosen is...

a "small neighborhood" is taken to be a finitely generated subgroup. An infinite group is said to be locally P if every finitely generated subgroup is...

The Milky Way has several smaller galaxies gravitationally bound to it, as part of the Milky Way subgroup, which is part of the local galaxy cluster,...

divide the two, also known as science fantasy or space opera, a much smaller subgroup of games feature a hard sci-fi setting with more emphasis on scientific...

quotient group Z/nZ has precisely one subgroup of order d, generated by the residue class of n/d. There are no other subgroups. Every cyclic group is abelian...

Serpentine subgroup (part of the kaolinite-serpentine group in the category of phyllosilicates) are greenish, brownish, or spotted minerals commonly found...