bio  website  ucs.louisiana.edu/~avm1260 

location  Lafayette, LA, USA  
age  45  
visits  member for  5 years, 2 months 
seen  4 hours ago  
stats  profile views  3,226 
With the move of MathOverflow into the SE network, this account is now associated with dormant accounts in math.SE and other sites in the network. While I plan to continue my (generally lowlevel) participation in MO, my current plans do not include restarting my participation in those other sites. Therefore, I will be ignoring any comments or pings that reach me from those sites, unless and until I resume my active participation there.
I remain "gone for the foreseeable future" from math.SE, tex.SE, and meta.SE.
Please do not send me private email to call my attention to comments, questions, or other matters related to those sites. Thank you. Also, as I no longer participate in those sites, I do not wish to be sent, by private email, questions that you can just as well ask on those sites. I would have thought it was obvious, but apparently I need to say so explicitly.
7h

revised 
assume subgroup $H$ of $G$ such that $N$ is also a subgoup of $H$, then $ P_{G/N}(H/N) = P_{G}(H)/N$
rewrite third paragraph to fix grammar errors and clarify the statement. 
Apr 23 
reviewed  Approve Singular projective variety where the Cartan homomorphism is not an isomorphism? 
Apr 20 
awarded  Enlightened 
Apr 20 
awarded  Nice Answer 
Apr 19 
revised 
amalgamation of locally finite groups
LaTeXifying 
Apr 19 
comment 
Generating finite groups using subgroups
Of course, this is just the wreath product $K\wr C_2$; you can see examples with arbitrary index for $G$ by taking $K\wr C_n$ instead. 
Apr 18 
revised 
Generating finite groups using subgroups
clarfiy phrasing 
Apr 18 
answered  Generating finite groups using subgroups 
Apr 18 
comment 
Generating finite groups using subgroups
right: it's just that as you phrased it, the subject of the sentence is "$H\leq G_0\leq G$", for which "is a subgroup" makes no sense. 
Apr 18 
comment 
Generating finite groups using subgroups
"Suppose that $H\leq G_0\leq G$ is a subgroup of index $2$..." You mean "suppose that $G_0$, $H\leq G_0\leq G$, is a subgroup of order $2$", right? 
Apr 13 
reviewed  Approve Understanding Faltings's Theorem 
Mar 31 
reviewed  Approve homogeneous polynomials over a finite field 
Mar 30 
reviewed  Approve (Non)existence of mirrors with more than two foci 
Mar 30 
comment 
About “covering” subgroups
near as I can tell, the condition given in the OP question is equivalent to saying that the cosets of $H$ have the following property: if $H\pi$ intersects every point stabilizer, then $\pi\in H$. In particular, for every coset of $H$ different from $H$ itself, there is a point stabilizer that does not intersect $H$. Seems like "covering" would be a strange term to use in that instance, so clearly the authors are looking at some other interpretation, and as such it is the authors who should be queried as to the origin of that term. 
Mar 30 
comment 
About “covering” subgroups
Thanks, @DimaPasechnik. I tried browsing through it but could not see a definition that included the term; then I tried the search. 
Mar 30 
comment 
About “covering” subgroups
P.S. The paper you linked to is in the theory of games, which is a mathematical field. Of course, since it is apparently not the paper that contains this definition, perhaps your claim that the paper "is not a mathematical one" will turn out to be correct. 
Mar 30 
comment 
About “covering” subgroups
A proper citation includes also the location on the paper in which the concept is to be found; it is unreasonable to expect to expect the people here to wade through 20 pages to find the context of your question. As it is, I did a search for "covering" on the paper you link to. Acrobat could not find a single match. There was also no match for "cover". So... what was the point of the link, if it does not contain what you claim it contains? 
Mar 30 
comment 
About “covering” subgroups
What paper was it? Can you give the citation? If it was not mathematical, then why ask about it in a mathematical group, or what makes you think you will get mathematical insight from it? Can you give the explicit, precise quote and context for it? Without doing any of these, it is hard if not impossible to actually answer your question. If you had doubts as to this being the mathematical term, then you should have said so. By giving the precise citation, you can help the process. Otherwise, you are just getting in your own way. 
Mar 30 
comment 
About “covering” subgroups
"the authors define $H$ covering" does not make much sense to me. Do they say "$H$ is a covering", or some such? And how about providing a specific reference, rather than "in a paper I read"? 
Mar 30 
revised 
About “covering” subgroups
fix punctuation, remove emoticon, spacing, add referencerequest tag 