Question

Every group with order prime power $p^n$ then it has subgroup of order $p^k$ for $0\leq k \leq n$

score 3.2k · Answer 1 · 2026-04-14 23:58:13

3.2k

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Every group with order prime power $p^n$ then it has subgroup of order $p^k$ for $0\leq k \leq n$

Published on 14 Apr 2026 - 23:58

score 409 · Answer 2 · 2026-04-12 05:17:30

409

Views

A proof using the contrapositive

Published on 12 Apr 2026 - 5:17

score 84 · Answer 3 · 2026-04-14 04:33:16

84

Views

Proof of $\textrm{int}(S)=X-\overline{X-S}$

Published on 14 Apr 2026 - 4:33

score 2k · Answer 4 · 2026-04-15 15:16:50

2k

Views

Prove there is an integer larger than a given real number

Published on 15 Apr 2026 - 15:16

score 90 · Answer 5 · 2026-04-11 02:00:40

90

Views

How to formalize my intution of this theorem on continuous functions?

Published on 11 Apr 2026 - 2:00

score 143 · Answer 6 · 2026-04-14 18:20:27

143

Views

Proving a supremum is not in a certain set

Published on 14 Apr 2026 - 18:20

score 527 · Answer 7 · 2026-04-15 20:16:29

527

Views

Prove $ \operatorname{im}( \phi ) \cong G/\ker( \phi)$

Published on 15 Apr 2026 - 20:16

score 29 · Answer 8 · 2026-04-12 01:42:02

29

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What can I assume in this proof?

Published on 12 Apr 2026 - 1:42

score 4k · Answer 9 · 2026-04-12 04:39:16

4k

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Prove that the product of three consecutive natural numbers is divisible by 6

Published on 12 Apr 2026 - 4:39

score 42 · Answer 10 · 2026-04-17 01:42:55

42

Views

'Transforming' a function $T(m,n)$ into $a(n)$ in an inductive proof

Published on 17 Apr 2026 - 1:42

score 353 · Answer 11 · 2026-04-16 12:04:28

353

Views

Prove that S is the disjoint union of intervals, whose total length is at least 1.

Published on 16 Apr 2026 - 12:04

score 46 · Answer 12 · 2026-04-12 03:33:20

46

Views

What does 17|nq mean in terms of cases?

Published on 12 Apr 2026 - 3:33

score 202 · Answer 13 · 2026-04-16 22:38:39

202

Views

Proof of quotient rule $(\frac{f}{g})'(x_{0})=\frac{f'(x_0)g(x_0)-f(x_0)g'(x_0)}{g^2(x_0)}$

Published on 16 Apr 2026 - 22:38

score 126 · Answer 14 · 2026-04-15 07:07:04

126

Views

Using induction to prove $\sum_{i = 1}^{n} i\cdot 2^i = (n - 1) \cdot 2^{n + 1} + 2$

Published on 15 Apr 2026 - 7:07

score 188 · Answer 15 · 2026-04-14 10:23:30

188

Views

Determinant of 5x5 Matrix with 6 Adjacent Zeros

Published on 14 Apr 2026 - 10:23

List Question

Every group with order prime power $p^n$ then it has subgroup of order $p^k$ for $0\leq k \leq n$

A proof using the contrapositive

Proof of $\textrm{int}(S)=X-\overline{X-S}$

Prove there is an integer larger than a given real number

How to formalize my intution of this theorem on continuous functions?

Proving a supremum is not in a certain set

Prove $ \operatorname{im}( \phi ) \cong G/\ker( \phi)$

What can I assume in this proof?

Prove that the product of three consecutive natural numbers is divisible by 6

'Transforming' a function $T(m,n)$ into $a(n)$ in an inductive proof

Prove that S is the disjoint union of intervals, whose total length is at least 1.

What does 17|nq mean in terms of cases?

Proof of quotient rule $(\frac{f}{g})'(x_{0})=\frac{f'(x_0)g(x_0)-f(x_0)g'(x_0)}{g^2(x_0)}$

Using induction to prove $\sum_{i = 1}^{n} i\cdot 2^i = (n - 1) \cdot 2^{n + 1} + 2$

Determinant of 5x5 Matrix with 6 Adjacent Zeros

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