Normal Subgroup
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normal subgroup [′nȯr·məl ′səb‚grüp]

(mathematics)

A subgroupNof a groupGwhere every expressiong^-1ngis inNfor everyginGand everyninN. Also known as invariant subgroup; normal divisor.

Normal Subgroup

(also normal divisor of a group, invariant subgroup), a fundamental concept of group theory, which was introduced by E. Galois. A normal subgroup of a group G is a subgroup H for which gH = Hg for arbitrary element g of group G.

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No references found			Topics covered include counting of subgroups and proof of the main counting theorems, regular p-groups and regularity criteria, p-groups of maximal class and their characterizations, characters of p-groups, p-groups with large Schur multiplier and commutator subgroups, (p--1)- admissible Hall chains in normal subgroups, powerful p-groups, automorphisms of p-groups, p-groups that have nonnormal subgroups that are all cyclic, and Alberin's problem of abelian subgroups of small index. Groups of prime power order; v.1 by SciTech Book News			normal pressure normal probability paper normal projection normal range Normal Rated Power normal ray normal reaction normal ripple mark normal saline normal salt normal salt solution normal school Normal Schools Normal Section normal segregation normal series normal silver sulfate normal slip fault normal soil normal solution normal space normal spiral galaxy normal state normal stress Normal Subgroup Normal subgroups normal surface normal synclinorium normal temperature and pressure normal thorium sulfate normal time normal to a curve normal to a surface normal tower normal transformation normal twin normal uranium normal volume normal water Normal Waves normal wear normal-incidence pyrheliometer normal-mode helix normal-mode rejection ratio normal-plate anemometer normal-weight aggregate normal-weight concrete normalisation normalised Normality normalization			Normal sinus rhythm Normal Size, Shape, and Consistency Normal Size, Shape, and Position Normal Skin and High Microfilarial Load normal sleep normal slip fault Normal Sodium and High Water Intake normal soil normal solution normal solution normal solution normal solution normal solution Normal space Normal spectrum normal speech recognition in noise Normal Sphincter Tone normal spiral galaxy Normal Spontaneous Delivery Normal Spontaneous Full Term Delivery Normal Spontaneous Vaginal Delivery normal stannic acid normal state Normal Straight-Time Annual Earnings Normal strain Normal Strength Concrete Normal stress Normal stress Normal subgroup Normal subgroup Normal subgroups Normal surface Normal Sustained Operations normal synclinorium Normal System Operating Pressure Normal Tax Rate Normal Technical normal temperature normal temperature normal temperature Normal Temperature & Pressure Normal Temperature & Pressure Dry Normal temperature and pressure Normal Tension Glaucoma Normal Tension Glaucoma Normal Tension Glaucoma Study Normal Thickness Filum Terminale normal thorium sulfate normal time Normal Tissue Complication Probability Normal Tissue Complication Probability Index normal titanic acid normal to a curve Normal to a plane normal to a surface Normal to Abnormal NORmal To Anything Normal to Normal

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Normal Subgroup (redirected from Normal subgroups)

Normal Subgroup
(redirected from Normal subgroups)