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Mar
20
awarded  Curious
Mar
3
asked How many unordered N-seqences in M letter alphabet?
Mar
31
awarded  Popular Question
Jun
30
comment Reference request for the law of the stopping time in the gambler's ruin problem
mathoverflow.net/questions/133399/… related
Jun
29
awarded  Yearling
Jan
1
comment What is the trellis diagram for a linear block code?
@JyrkiLahtonen Lahtonen Notifier: May I kindly ask you to look at mathoverflow.net/questions/117505/… PS Happy new year !
Dec
22
awarded  Announcer
Sep
26
comment Irreps of $S_3=GL(2,2)$. Who is cuspidal?
Let be a normal subgroup of a finite group . Let belonging to be a conjugacy class of elements in , and assume that belongs to . Prove that is a union of conjugacy classes in , all having the same cardinality, where equals the index of the group generated by and the centralizer in of and element belonging to . math.stackexchange.com/questions/5614/…
Sep
26
comment Irreps of $S_3=GL(2,2)$. Who is cuspidal?
math.stackexchange.com/questions/153381/… Estimates on conjugacy classes of a finite group. Theorem: Let A be a normal subgroup of G such that A is the centralizer of every non-trivial element in A. If further G/A is abelian, then G has |G:A| linear characters, and (|A|−1)/|G:A| non-linear irreducible characters of degree =|G:A| which vanish off A. math.stackexchange.com/questions/117500/…
Sep
26
comment Irreps of $S_3=GL(2,2)$. Who is cuspidal?
Side remark: Have a look at Weintraub - "Representation theory of finite group" in the section Mackey Machine math.stackexchange.com/questions/38571/… What is the relationship between Mackey's theorem in character theory and Mackey's theorem in transfer theory? math.stackexchange.com/questions/189430/…
Sep
15
comment Conjugacy classes in group extensions
Thank you !... .
Sep
11
comment Conjugacy classes in group extensions
May I ask you? Is more strong thing holds : preimage of conj class in G/N is not more than k(N) conj. classes ? Then inequality follows obviously, if we have G = N x G/N then it is of course so, for preimage "id" it is also of course so
Aug
15
comment Irreps of $S_3=GL(2,2)$. Who is cuspidal?
Thank you very much!
Aug
15
accepted Irreps of $S_3=GL(2,2)$. Who is cuspidal?
Aug
15
comment Kindle as a Tool for Mathematicians?
May I kindly ask you to look at my question: math.stackexchange.com/questions/182724/… this is notifier I will delete it later.
Aug
15
asked Irreps of $S_3=GL(2,2)$. Who is cuspidal?
Aug
13
comment Construction of representations
@PeteL.Clark What is the list of other examples known ? Where can I take it ? I am googling for quite a long, but do not see comprehensive answer :(
Aug
1
comment Voyager mission polynomials. Prove that for any $p(x)$ $|p(x)(1+x+x^3+x^4+x^6)|+|p(x)(1+x^3+x^4+x^5+x^6)|\geq10$, where $|\cdot|$ number of monoms
@DilipSarwate Thank you for yours comments ! Probably a part of my question is complicated and may be NP, but there is the following YES/NO sub-question: Is it true that Max_{f,g, deg = n} MinDist(f,g) > n ? I think yes, what is sharper bound ? may be n +log(n) or n+sqrt(n) ? What is known about it ?
Aug
1
comment Voyager mission polynomials. Prove that for any $p(x)$ $|p(x)(1+x+x^3+x^4+x^6)|+|p(x)(1+x^3+x^4+x^5+x^6)|\geq10$, where $|\cdot|$ number of monoms
@DilipSarwate Thank you for yours comment. May be you right, exercise a bad word, may be complicated puzzle is better... What is not quite clear for me about "no easy answers or proofs, and no useful bounds " is that - is it known that any bound will be complicated or just this is open problem to find good bound ? E.g. may I ask you to look at mathoverflow.net/questions/103497/… any comments are welcome !
Aug
1
comment Voyager mission polynomials. Prove that for any $p(x)$ $|p(x)(1+x+x^3+x^4+x^6)|+|p(x)(1+x^3+x^4+x^5+x^6)|\geq10$, where $|\cdot|$ number of monoms
@joriki Thank you ! It is more clear now.