Mathematics, 08.04.2020 03:27, allsherm23

G Let G be a not necessarily abelian group with normal subgroups H and K such that H contains K (i. e., K ✂ G, H ✂ G, K ≤ H) and such that G/K is an abelian group. Prove that G/H is an abelian group also.

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 19:50, Roshaan8039

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Answers: 3

continue

Mathematics, 21.06.2019 23:00, firefightergros7271

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events

Answers: 2

continue

Mathematics, 22.06.2019 00:10, arunamvr

A, at (-2, 4), is 6 .of a'? (-8, 4) (-8, -2) (-2, -2) (-2, 4) b, at (-4, -7), isy-.of b'? (-4, 7) (4, -7) (4, 7) (-4, -7)

Answers: 2

continue

Mathematics, 22.06.2019 01:30, fraven1819

If the segment op is dilated by a scale factor r=2, what is the length of segment op? a)10cm b)16cm c)6cm d)4cm

Answers: 1

continue

Do you know the correct answer?

G Let G be a not necessarily abelian group with normal subgroups H and K such that H contains K (i....