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51 group theory | number of cyclic subgroups of order 2 in K4| TGT PGT maths LT grade maths
AMMATHS TUTORIALS
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50 number of elements of order 2 in the Dihedral group D4 | TGT MATHS | LT GRADE MATHS
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49 which of the following is abelian group of order 8,15,125 and 35 |TGT PGT MATHS | lt grade
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48 which of the following is non abelian group of order 11,55,25 and 27 | TGT PGT MATHS |LT GRADE
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42 total number of proper subgroups in Z7
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47 which of the following alternating group A3,A4,A5 and A6 are simple group
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46 symmetry group total number of normal subgroup in symmetric group S4 TGT PGT maths LT grade math
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45 symmetry group| total number of normal subgroup in symmetry group S6
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44 symmetry group | the total number of normal subgroup permutation group S5
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43 symmetry group | total number of normal subgroup in symmetric group S3
41 product of symmetry group| order of elements (1 2 3 ) (2 4 5 ) ( 4 5 6 ) in the Group S6 is
39 permutation group| find self inverse element of permutation group in S5
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38 symmetry group| find the self inverse element of permutation group as S5 | TGT PGT maths LT grade
37 symmetry group | number of conjugacy classes in S6 | how may number of conjugacy classes in S6
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36 symmetry group | number of Conjugancy classes of permutation group S5|TGT PGT math LT grade math
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35 symmetry group | largest possible order of any element permutation group S10
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34 group theory | find all transposition in S5 | TGT PGT maths | LT grade maths UPPSC & GIC MATHS
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33 find the largest possible order any element in s13 | TGT PGT maths LT grade maths
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32 order of symmetric group | how to find order of permutation group | TGT PGT maths LT grade maths
31 alternating group | An is non abelian group when n is greater than or equal to 4 |TGT pgt maths
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30 concept of symmetric group | Sn is non abelian when n is. greater than or equal to 3
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29 symmetric group | number 2 cycle in S3 | TGT pgt lt grade maths
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28 σ be the 100 cycle (1 2 3..100 ) & τ be the transposition ( 49 50) in the permutation of στ
27 symmetric group | if g=(1 2 3 4 5 ) in S5 then g^3 is
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26 symmetric group | product of two symmetric groups| product of two permutation group
25 what is the smallest positive integer in the set {24x+60y+2000z ┤|x,y,z∈Z
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24 what is the number of non-singular 3 X 3 matrices over F2 finite field with two elements.
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23 let G be the group(under matrix multiplication) of 2 X 2 invertible matrices with entries from Z9
22 group theory | if group G={X∈C │X^60=-1 but x^k≠-1}, If 0 to k to 60 ,then then O(G)
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21 group theory | if group G={X∈C │X^10=1},then O(G) | TGT & PGT MATHS | LT GRADE MATHS | UPPSC
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20 concept of group | semi group | monoid group and abelian group | TGT PGT maths | LT grade maths
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19 Let * be a binary operation defined on the set Q+ by the rule a*b=ab/3 , the inverse of 4*6 is
18 if xab=b in group G,then value of x is |TGT PGT maths| LT grade math | UPSC math
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17 multiplicative group G={1,-1,-i,i} is cyclic group .its generators are |UP TGT PGT LT grade maths
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16 in the group G={2,4,6,8},X10, then identity element is | TGT PGT maths LT grade maths
15 Let * be a binary operation defined on the set Q+ by the rule a*b=ab/3 , the inverse of 5/7 is
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14 the set Z of integer forms a group under a binary operation a*b=a+b+1,inverse of 'a' in the group
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13 if (G,*) be a group and x*y=x+2y-3,then inverse of x in the group | LT GRADE | UPPSC | TGT PGT
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12 let * be a binary operation of positive rational number Q by rule a*b=ab/3 ,then inverse of 8 is
11 the set Z of integer forms a group under a binary operation a*b=a+b+1,inverse of -2 in the group
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10 which of the following necessary cyclic group in 6,10,7 and 4 | TGT PGT | LT GRADE | UPPSC
09 the least order of non-abelian group in 4,5,6 & 8 is | UP TGT PGT LT grade UPSC maths
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08 let 'a' the element of group and order 6 ,then O(a^5) is | UPPSC |TGT PGT MATHS
07 let 'a' the element of group and order 30 ,then O(a^18) is | UPPSC |TGT PGT MATHS
02 the order of element (-i) of multiplicative group G{1,-1,i,-i} |TGT PGT | LT GRADE | UPPSC MATHS
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04 number of generator of cyclic group of order 60 is | how to find number of generator of order n
06 G be a group of identity element e and a,b∈G be such that a^5=e & aba^(-1)=b^2 then O(b) is
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05 total number of subgroup of order 60 | short tricks of group theory | LT grade UPPSC and RPSC
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03 number of generator of cyclic group of order 10 is | TGT PGT | LT GRADE MATHS | UPPSC |RPSC
01 group contain elements a and b such that O(a)=4, O(b)=2 and a^3 b=ba then O(ab) is | lt garde
