Question

group of order 135 solvable?

score 1.6k · Answer 1 · 2015-04-06 15:55:34

1.6k

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group of order 135 solvable?

Published on 06 Apr 2015 - 15:55

score 154 · Answer 2 · 2026-03-26 19:24:38

154

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Carter Subgroups and Projectors

Published on 26 Mar 2026 - 19:24

score 109 · Answer 3 · 2015-05-13 13:20:31

109

Views

Consequences of $G$ having exactly $3$ irreducible characters

Published on 13 May 2015 - 13:20

score 603 · Answer 4 · 2015-05-29 04:04:01

603

Views

Show that if $A, B$ are groups, then $A \times B$ is solvable if and only if both $A$ and $B$ are solvable?

Published on 29 May 2015 - 4:04

score 2.6k · Answer 5 · 2015-05-30 04:45:38

2.6k

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Solvable equivalent to nilpotency of first derived Lie algebra?

Published on 30 May 2015 - 4:45

score 178 · Answer 6 · 2015-05-30 06:51:45

178

Views

Derived length of direct product of 2 soluble groups

Published on 30 May 2015 - 6:51

score 188 · Answer 7 · 2015-06-14 16:58:04

188

Views

subtracting inequalities if difference is positive

Published on 14 Jun 2015 - 16:58

score 490 · Answer 8 · 2015-06-21 19:46:51

490

Views

Soluble(solvable) and nilpotent groups

Published on 21 Jun 2015 - 19:46

score 286 · Answer 9 · 2015-06-25 16:27:01

286

Views

Solvability of transitive group

Published on 25 Jun 2015 - 16:27

score 7.3k · Answer 10 · 2015-06-26 01:02:32

7.3k

Views

Quotients of Solvable Groups are Solvable

Published on 26 Jun 2015 - 1:02

score 40 · Answer 11 · 2015-06-26 22:48:33

40

Views

$Z(\mathcal{L}^{(n)}) \subset Z(\mathcal{L})$ for solvable Lie algebras?

Published on 26 Jun 2015 - 22:48

score 50 · Answer 12 · 2015-07-24 09:49:12

50

Views

existence of a subgroup of a solvable group G of order d for any divisor d of |G|, with d<|G|^(1/2)

Published on 24 Jul 2015 - 9:49

score 98 · Answer 13 · 2015-08-16 09:37:33

98

Views

Assume that $ G = MC $, for some cyclic subgroup $ C $. Is $ M \cap C $ a normal subgroup of $ G $?

Published on 16 Aug 2015 - 9:37

score 83 · Answer 14 · 2015-08-21 18:48:13

83

Views

Let $ K/L $ be a chief factor of $ G $ and $ M $ be the smallest normal subgroup of $ K $ such that $ K/M $ is nilpotent

Published on 21 Aug 2015 - 18:48

score 162 · Answer 15 · 2026-03-26 17:37:31

162

Views

find the factor groups of the p group - G and prove that G is solvable , where $|G|= p^a$ , p is prime

Published on 26 Mar 2026 - 17:37

List Question

group of order 135 solvable?

Carter Subgroups and Projectors

Consequences of $G$ having exactly $3$ irreducible characters

Show that if $A, B$ are groups, then $A \times B$ is solvable if and only if both $A$ and $B$ are solvable?

Solvable equivalent to nilpotency of first derived Lie algebra?

Derived length of direct product of 2 soluble groups

subtracting inequalities if difference is positive

Soluble(solvable) and nilpotent groups

Solvability of transitive group

Quotients of Solvable Groups are Solvable

$Z(\mathcal{L}^{(n)}) \subset Z(\mathcal{L})$ for solvable Lie algebras?

existence of a subgroup of a solvable group G of order d for any divisor d of |G|, with d<|G|^(1/2)

Assume that $ G = MC $, for some cyclic subgroup $ C $. Is $ M \cap C $ a normal subgroup of $ G $?

Let $ K/L $ be a chief factor of $ G $ and $ M $ be the smallest normal subgroup of $ K $ such that $ K/M $ is nilpotent

find the factor groups of the p group - G and prove that G is solvable , where $|G|= p^a$ , p is prime

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