Tara B

4,088 reputation

930

bio	website
	location	Scotland
	age	30
visits	member for	1 year, 2 months
	seen	May 16 at 22:36
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I do research on groups, semigroups, and especially interactions between algebra and formal language theory. My non-research interests include combinatorics, elementary number theory and topology.

	4,088 reputation	bio	website		visits	member for	1 year, 2 months
930 badges		location	Scotland		seen	May 16 at 22:36

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116 Answers

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How is the set of all programs countable?

Is this group abelian?

Let $p$ be a prime. Prove that $p$ divides $ab^p−ba^p$ for all integers $a$ and $b$.

No permutation of $S_4$ satisfying the expression.

Is there an infinite simple group with no element of order $2$?

What exactly are eigen-things?

In how many ways we can choose three numbers the set of first $11$ natural numbers $(1,2,\cdots,11)$ so that their sum is a multiple of $3$?

What is the standardized way to represent $\pi$ in binary notation?

Storing a group in a computer

How to move from a right semigroup action to a left semigroup action?

Adding an element to a subgroup

Understanding presentations of groups

Proof by induction: Show that $7|5^{2n}-2^{5n}$

Under what condition does $ac\equiv bc\ (mod\ n)$ imply that $a\equiv b\ (mod\ n)$?

Is this correct? $rH=Hr^{-1}$

Which properties are inherited by the Cartesian product of two sets equipped with a binary operation?

Subspace of a Vector Space must be non-empty.

why $(\operatorname{GL}_n(F), +)$ is not a group?

A Few Abstract algebra im stuck on

The free group $F_2$ contains $F_k$

Prove by Mathematical Induction: $1(1!) + 2(2!) + \cdot \cdot \cdot +n(n!) = (n+1)!-1$

Counting the number of pairs $(a,b)$ such that $M \mid a+b$ with $a, b \in [N]$

Kernel of a function?

Amalgamated free products and Stallings' theorem on ends of groups

Finitely generated semigroup gets the finitely generated subsemigroup?

Inverse elements in the absence of identities/associativity.

If $L\in REG$ then $M$ has a finite number of distinct rows

Learning a foreign language for math PhD

Showing $\prod_{g\in G}g=\prod_{g\in G}(a\cdot g)$

Indices - Numbers as a product of prime numbers