edited by
120 views
0 votes
0 votes

True/False Question :

Let $G$ be an abelian group, with identity element $e$. If 

$$\left \{ g \in G \mid g = e\:or\:g\:has\:infinite\:order \right \}$$

is a subgroup of $G$, then either all elements of $G\setminus \left \{ e \right \}$ have infinite order, or all elements of $G$ have infinite order.

edited by

Please log in or register to answer this question.

Answer:

Related questions

0 votes
0 votes
0 answers
1
soujanyareddy13 asked Aug 28, 2020
307 views
True/False Question :There exists no monotone function $f:\mathbb{R}\rightarrow \mathbb{R}$ which is discontinuous at every rational number.
0 votes
0 votes
0 answers
3
soujanyareddy13 asked Aug 28, 2020
169 views
True/False Question :Let $\left \{ a_{n} \right \}^{\infty }_{n=1}$ be a bounded sequence of positive real numbers. Then: $$\underset{n\rightarrow\infty }{lim sup}\:\frac...