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seen Feb 8 '13 at 15:32

Nov
22
accepted Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
Nov
20
comment Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
Ok , so if im going on that way , the list of the generators and i can get from discovering that 3 is a generator and use gcd (m,p-1) is 3,10,5,11,14,7,12,6 that 8 generators , so i need to fine 1 more generators and from him to get another list of generators? and like that to find at least 12 generators?
Nov
20
comment Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
2 is not a generator of $\Bbb Z^*_17$. 2^1=2 2^2=4 2^3=8 2^4=16 2^5=15 2^6=13 2^7=9 2^8=1. and $\Bbb Z^*_17$ ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}
Nov
20
comment Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
Tobias - i read it again and i got it , its true. but how do i show that the set of all elements that are NOT-GENERATORS are a sub-group ?
Nov
20
comment Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
the exersize have 2 section , the first one is the one i solved and describe above . im looking for a hint for the second one for the non-generators
Nov
20
comment Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
some thing dose not add up for me , lets take p=17 p-1=16 3 is a generator of this group , m=16 gcd(16,16)=16
Nov
20
comment Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
can you explain a bit more your answer ?
Nov
20
asked Trying to prove that a set of non-generators element are not a subgroup of $\Bbb Z^*_p$
Nov
17
awarded  Scholar
Nov
17
accepted Trying to prove that a $\Bbb Z^*_n$ group is not cyclic
Nov
17
comment Trying to prove that a $\Bbb Z^*_n$ group is not cyclic
is there any fast way to calculate it ? we just started the course , im not sure i have the tools to answer that.
Nov
17
comment Trying to prove that a $\Bbb Z^*_n$ group is not cyclic
i mean for a multiplicative group Zn
Nov
17
asked Trying to prove that a $\Bbb Z^*_n$ group is not cyclic