OUESTION NO. 33(AURhba Shaheen)Let A and B be gooups, Let A'gA and Ba Bbe noimal Shbgrdups'be aand letx: A Bhomorrol phiem welh xlA')E BIo Prove That Therk & a (evell- defined) homomorphismXx i ALA' BIB given by aa y a A'ms ara)8'!f) Prove That of al ů sowefectrve, then Kanaofecetire.isCueSTiON NO 35(Amna Zahoo)

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OUESTION NO 33 (Aleshba Shaheen Let A and B be Gooups , Let A'aA and Bla B let A4A and BaB X: A B be normal subgrdups. and let be a homorroy phiem Therk & a (well- defined) homomerphim זסרהטAsm Xa i AlA' BIB given by Xe ų a A'ns ala)B! fo Prove That of ů surfective, then ae us senjective.

OUESTION NO 33 (Aleshba Shaheen Let A and B be Gooups , Let A'aA and Bla B let A4A and BaB X: A B be normal subgrdups. and let be a homorroy phiem Therk & a (well- defined) homomerphim זסרהטAsm Xa i AlA' BIB given by Xe ų a A'ns ala)B! fo Prove That of ů surfective, then ae us senjective.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 16E

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Question

OUESTION NO. 33
(AURhba Shaheen)
Let A and B be gooups, Let A'gA and Ba B
be noimal Shbgrdups'
be a
and let
x: A B
homorrol phiem welh xlA')E BI
o Prove That Therk & a (evell- defined) homomorphism
Xx i ALA' BIB given by aa y a A'ms ara)8'!
f) Prove That of al ů sowefectrve, then Kan
aofecetire.
is
CueSTiON NO 35
(Amna Zahoo)

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