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Abelian Group - Alternative Definitions | GATE CSE 1988, 2022 | Group Theory | GO Classes | Deepak
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Abelian Group - All Alternative Definitions | GATE CSE 1988, GATE CSE 2022 | GO Classes | GATE Overflow | Deepak Poonia Sir
GATE CSE 1988 | Question: 2xviii
Show that if G is a group such that (a.b)2=a2.b2 for all a,b belonging to G, then G is an abelian.
GATE CSE 2022 | Question: 17
Which of the following statements is/are TRUE for a group G?
If for all x,y∈G,(xy)2=x2y2, then G is commutative.
If for all x∈G,x2=1, then G is commutative. Here, 1 is the identity element of G.
If the order of G is 2, then G is commutative.
If G is commutative, then a subgroup of G need not be commutative.
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GATE CSE 1988 | Question: 2xviii
Show that if G is a group such that (a.b)2=a2.b2 for all a,b belonging to G, then G is an abelian.
GATE CSE 2022 | Question: 17
Which of the following statements is/are TRUE for a group G?
If for all x,y∈G,(xy)2=x2y2, then G is commutative.
If for all x∈G,x2=1, then G is commutative. Here, 1 is the identity element of G.
If the order of G is 2, then G is commutative.
If G is commutative, then a subgroup of G need not be commutative.
Crack #GATE Computer science exam with the best.
Join GO Classes Telegram Channel for GATE CSE Resources, Announcements :
Join GATE Overflow Telegram Group for GATE CSE Doubt Discussions :
Join GO Classes Telegram Group for GATE CSE Doubt Discussions :
Complete #DiscreteMathematics Course(FREE) Link :
Complete #C_Programming Course(FREE) Link :
Know ALL about GO Classes GATE CSE Course :
GATE 2023 Course Orientation Session :
Feel free to contact us for any query.
GO Classes Contact :
(+91)63025 36274
(+91)9468930964
GO Classes Mail ID :
#gateexam #gate2023 #computerscience #gatecomputerscience #goclasses #gateoverflow #gate2023exam #algorithms #datastructures #theoryofcomputation #clanguage #operatingsystem #linearalgebra #probability #digitallogic #discretemathematics #dbms #compilerdesign #computernetwork #computerorganisation #computerarchitecture #engineeringmathematics #aptitude #interviewpreparation #coding #competitivecoding #codingquestions #interviewquestions #codingpreparation #programming #programmingquestions #programmingpreparation #programmingchallenge #competitiveprogramming #gate2022 #gate2024 #goclass #goclassroom #cprogramming
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