by Ashani Dasgupta

Suppose a group is acting properly and cocompactly on a metric space X, by isometries. (Understand: proper, cocompact, isometric action) Claim There are only finitely many conjugacy classes of the isotropy subgroups in Sketch Since the action is cocompact, there is a... by Aritra

Understand the problem Suppose that in a sports tournament featuring n players, each pairplays one game and there is always a winner and a loser (no draws).Show that the players can be arranged in an order P1, P2, . . . , Pn suchthat player Pi has beaten Pi+1 for all... by Aritra

Understand the problem Let be a polynomial with integer coefficients. Define and for .If there exists a natural number such that , then prove that either or . Source of the problem I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination... by Aritra

Understand the problem If there exists a calculator with 12 buttons, 10 being the buttons for the digits and A and B being two buttons being processes where if n is displayed on the calculator if A is pressed it increases the displayed number by 1 and if B is... by Aritra

Understand the problem .Find all real numbers x for which Source of the problem C.M.I (Chennai mathematical institute ) U.G-2019 Topic Algebra Difficulty Level 8 out of 10 Suggested Book . Start with hints Hint 0Hint 1Hint 2Hint 3Hint 4 Do you really need a... by Aritra

Understand the problem Let be a twice differentiable function such thatShow that there exist such that for all . Source of the problem I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2019. Subjective Problem no. 4 Topic calculus Difficulty...