# Search results

**Create the page "Subgroup property implications in finite groups" on this wiki!** See also the search results found.

- * "I've heard that a normal subgroup of a normal subgroup need not be normal. Is that true?" * "Is a subgroup of a finitely generated group necessarily finitely generated?"13 KB (1,998 words) - 04:44, 8 March 2013
- {{pivotal group property}} | 1 || modular arithmetic definition || it is either [[isomorphic groups|isomorphic]] to the [[group of integers]] or to the [[group of integers mod8 KB (1,111 words) - 23:25, 20 June 2013
- {{quick phrase|[[quick phrase::factor in internal direct product]], [[quick phrase::normal with normal complement]], ===Definition in tabular form===17 KB (2,297 words) - 17:16, 3 July 2013
- ...nt::subnormal series]] (wherein each member is normal in its successor) of finite length, starting from the trivial group and ending at the whole group, such # It is a [[defining ingredient::solvable group]] and all the factor groups between successive members of its [[derived series]] are [[defining ingredi4 KB (580 words) - 01:48, 29 March 2013
- This survey article is about the following three kinds of subgroup properties: ...ormal in any intermediate subgroup, it is also normal in that intermediate subgroup.32 KB (4,517 words) - 23:08, 22 February 2009
- {{in-group subgroup property|normal subgroup|finite group}} ...h>H</math> of a [[group]] <math>G</math> is termed a '''normal subgroup of finite group''' if it satisfies the following equivalent conditions:3 KB (469 words) - 05:23, 7 June 2012
- {{group property}} ...oup of nilpotency class two]] (i.e., its [[derived subgroup]] is contained in ts [[center]]) and it satisfies the following equivalent conditions:5 KB (731 words) - 17:20, 2 July 2017