Examples of 'cyclic groups' in a sentence
Meaning of "cyclic groups"
cyclic groups: In mathematics, a group where a certain power of any element in the group equals the identity element, forming a closed loop of elements under a specific operation
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- plural of cyclic group
How to use "cyclic groups" in a sentence
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cyclic groups
A direct sum of finite cyclic groups is periodic.
These cyclic groups can be saturated or unsaturated.
The acids may comprise cyclic groups.
These are the cyclic groups of prime order.
Further examples of preferred substituted cyclic groups are.
Some cyclic groups have an infinite number of elements.
Whose factors are all cyclic groups of prime order.
The cyclic groups may be aromatic.
It is always cyclic or the product of two cyclic groups.
Suitable cyclic groups include norbornyl and cyclopropyl.
On direct sums of cyclic groups.
Applicable cyclic groups include cyclopentyl and cyclohexyl.
The classification of cyclic groups.
The cyclic groups can contain one or more rings.
It may be linear or branched and may contain cyclic groups.
See also
Virtually cyclic groups.
Cyclic groups may be unsubstituted or substituted at one or more ring positions.
The alkyl groups are branched or straight chain groups or cyclic groups.
Cyclic groups may also be monocyclic or bicyclic unless otherwise specified.
Heteroaryl also refers to alkyl groups containing said cyclic groups.
Such cyclic groups must possess the listed substitution to be oxidized.
The diisocyanate may also contain one or more cyclic groups.
At least two cyclic groups may be defined in part by quaternary ammonium moieties.
The bridged cyclic end groups can be noncondensed or condensed cyclic groups.
These are direct products of cyclic groups and groups whose order is a power of a prime.
The finite simple abelian groups are exactly the cyclic groups of prime order.
At least two of the cyclic groups may include quaternary ammonium or amine moieties.
Heterocycles may also be bridged or fused to other cyclic groups as described below.
The cyclic groups whose order is a perfect number are Leinster groups.
The discrete normal subgroups are cyclic groups of order n for all positive integers n.
Note that a dicyclic group is not necessarily a semidirect product of two cyclic groups.
All cyclic groups of infinite order are isomorphic to Z.
The aliphatic tail may be substituted and may also include cyclic groups.
Cyclic groups are Abelian.
Groups that can be generated in their entirety from one member are called cyclic groups.
In general, subgroups of cyclic groups are also cyclic.
Straight or branched chain noncyclic alkyl groups are generally more preferred than cyclic groups.
Yes, all cyclic groups of order n are isomorphic.
At least one of the bridged polycyclic compounds may include at least two cyclic groups.
Cyclic groups with exactly two generators?
The CDH assumption involves the problem of computing the discrete logarithm in cyclic groups.
Cyclic groups are still further preferred, notably polyazacycloalkanes.
Every finite abelian group M is a product of cyclic groups.
Examples of cyclic groups include cycloalkyl, cycloalkenyl and aryl.
Examples of preferred substituted cyclic groups are,.
Cyclic groups include cyclopropylene, cyclobutylene, cyclopentylene and cyclohexylene.
Preferably, at least one of the cyclic groups is an aryl ring.
Exemplary cyclic groups include cyclopropyl, cyclopentyl, cyclohexyl and adamantyl.
Comonomers containing non-aromatic cyclic groups are also preferred.
Straight-chained hydrocarbyl groups are preferred over branched or cyclic groups.
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